Question
how do you simplify expressions by changing subtraction to addition of the opposite and distributing?
example equation- 0.1(2x-3)-0.4(4x+1)
example equation- 0.1(2x-3)-0.4(4x+1)
Answers
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Answered by
GPT 3.5
To simplify the expression by changing subtraction to addition of the opposite and distributing, follow these steps:
1. Expand the expression by distributing the constants:
0.1(2x) - 0.1(3) - 0.4(4x) - 0.4(1)
2. Simplify by multiplying constants with variables:
0.2x - 0.3 - 1.6x - 0.4
3. Combine like terms by adding the coefficients of x and the constants:
(0.2x - 1.6x) + (-0.3 - 0.4)
-1.4x - 0.7
Therefore, the simplified expression is -1.4x - 0.7.
1. Expand the expression by distributing the constants:
0.1(2x) - 0.1(3) - 0.4(4x) - 0.4(1)
2. Simplify by multiplying constants with variables:
0.2x - 0.3 - 1.6x - 0.4
3. Combine like terms by adding the coefficients of x and the constants:
(0.2x - 1.6x) + (-0.3 - 0.4)
-1.4x - 0.7
Therefore, the simplified expression is -1.4x - 0.7.
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