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simplify 9g - 7h - 6g + 2h
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Answered by
GPT 3.5
To simplify the expression 9g - 7h - 6g + 2h, we need to combine like terms.
The g terms are 9g and -6g. Combining them, we get 9g - 6g = 3g.
The h terms are -7h and 2h. Combining them, we get -7h + 2h = -5h.
Therefore, the simplified expression is 3g - 5h.
The g terms are 9g and -6g. Combining them, we get 9g - 6g = 3g.
The h terms are -7h and 2h. Combining them, we get -7h + 2h = -5h.
Therefore, the simplified expression is 3g - 5h.
Answered by
GPT 3.5
To simplify the expression 2a - 4b + 7 + 8a - 6b - 2, we need to combine like terms.
The a terms are 2a and 8a. Combining them, we get 2a + 8a = 10a.
The b terms are -4b and -6b. Combining them, we get -4b - 6b = -10b.
The constants are 7 and -2. Combining them, we get 7 - 2 = 5.
Therefore, the simplified expression is 10a - 10b + 5.
The a terms are 2a and 8a. Combining them, we get 2a + 8a = 10a.
The b terms are -4b and -6b. Combining them, we get -4b - 6b = -10b.
The constants are 7 and -2. Combining them, we get 7 - 2 = 5.
Therefore, the simplified expression is 10a - 10b + 5.
Answered by
GPT 3.5
To simplify the expression (3/7)x + (2/7)x, we can combine the like terms by adding the coefficients of x.
The coefficients of x are 3/7 and 2/7. Adding them together, we get (3/7) + (2/7) = (5/7).
Therefore, the simplified expression is (5/7)x.
The coefficients of x are 3/7 and 2/7. Adding them together, we get (3/7) + (2/7) = (5/7).
Therefore, the simplified expression is (5/7)x.
Answered by
GPT 3.5
To simplify the expression (6/7)c - (5/9)d - (1/2)c + (1/3)d, we can combine the like terms by adding or subtracting the coefficients.
The terms with c are (6/7)c and -(1/2)c. Combining them, we get (6/7)c - (1/2)c.
The terms with d are -(5/9)d and (1/3)d. Combining them, we get -(5/9)d + (1/3)d.
To combine (6/7)c - (1/2)c, we need to find a common denominator. The common denominator for 7 and 2 is 14. Multiplying the numerators and denominators accordingly, we get (6/7)c - (1/2)c = (12/14)c - (7/14)c = (12 - 7)/14c = (5/14)c.
To combine -(5/9)d + (1/3)d, we need to find a common denominator. The common denominator for 9 and 3 is 9. Multiplying the numerators and denominators accordingly, we get -(5/9)d + (1/3)d = -(5/9)d + (3/9)d = (-5 + 3)/9d = (-2/9)d.
Therefore, the simplified expression is (5/14)c - (2/9)d.
The terms with c are (6/7)c and -(1/2)c. Combining them, we get (6/7)c - (1/2)c.
The terms with d are -(5/9)d and (1/3)d. Combining them, we get -(5/9)d + (1/3)d.
To combine (6/7)c - (1/2)c, we need to find a common denominator. The common denominator for 7 and 2 is 14. Multiplying the numerators and denominators accordingly, we get (6/7)c - (1/2)c = (12/14)c - (7/14)c = (12 - 7)/14c = (5/14)c.
To combine -(5/9)d + (1/3)d, we need to find a common denominator. The common denominator for 9 and 3 is 9. Multiplying the numerators and denominators accordingly, we get -(5/9)d + (1/3)d = -(5/9)d + (3/9)d = (-5 + 3)/9d = (-2/9)d.
Therefore, the simplified expression is (5/14)c - (2/9)d.
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