-32+10b=-22

solve for b

16 answers

To solve for b, we need to isolate it on one side of the equation.

Starting with the given equation: -32 + 10b = -22

First, let's add 32 to both sides of the equation to get rid of the constant -32:

-32 + 32 + 10b = -22 + 32

This simplifies to:

10b = 10

Next, divide both sides of the equation by 10 to isolate b:

10b/10 = 10/10

This simplifies to:

b = 1

Therefore, the solution for b is 1.
Expand −5(−3 − 11g).
To expand the expression -5(-3 - 11g), we will distribute the -5 to both terms inside the parentheses.

-5 * -3 = 15

-5 * 11g = -55g

Therefore, the expanded expression is:

15 + 55g
Expand 13(q−6) using the Distributive Property.
To expand the expression 13(q - 6), we will distribute the 13 to both terms inside the parentheses.

13 * q = 13q
13 * (-6) = -78

Therefore, the expanded expression is:

13q - 78
Expand 1/3(q−6) using the Distributive Property.
To expand the expression (1/3)(q - 6) using the Distributive Property, we will multiply each term inside the parentheses by 1/3.

(1/3) * q = q/3
(1/3) * (-6) = -6/3 = -2

Therefore, the expanded expression is:

q/3 - 2
Expand 25(−5c+10).(
To expand the expression 25(-5c + 10), we will distribute the 25 to both terms inside the parentheses.

25 * -5c = -125c
25 * 10 = 250

Therefore, the expanded expression is:

-125c + 250
Expand 2/5(−5c+10).(
To expand the expression (2/5)(-5c + 10) using the Distributive Property, we will multiply each term inside the parentheses by 2/5.

(2/5) * -5c = -10c/5 = -2c
(2/5) * 10 = 20/5 = 4

Therefore, the expanded expression is:

-2c + 4
Expand −7/6(3g+2).
To expand the expression (-7/6)(3g + 2) using the Distributive Property, we will multiply each term inside the parentheses by -7/6.

(-7/6) * 3g = -21g/6 = -7g/2
(-7/6) * 2 = -14/6 = -7/3

Therefore, the expanded expression is:

-7g/2 - 7/3
i got a 4/5
Apologies for the confusion. Let's calculate it again:

To expand the expression (-7/6)(3g + 2) using the Distributive Property, we will multiply each term inside the parentheses by -7/6.

(-7/6) * 3g = -21g/6 = -7g/2
(-7/6) * 2 = -14/6 = -7/3

Therefore, the expanded expression is:

-7g/2 - 7/3

If you simplified it to 4/5, please double-check your calculations as it does not appear to be the correct result.
1/2 (x + 4) + 1/4 (4x - 2)
answer should be in mixed number form