5(m-2)-(-4+2m)=4m-7m

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Solution for 5(m-2)-(-4+2m)=4m-7m equation:


Simplifying
5(m + -2) + -1(-4 + 2m) = 4m + -7m

Reorder the terms:
5(-2 + m) + -1(-4 + 2m) = 4m + -7m
(-2 * 5 + m * 5) + -1(-4 + 2m) = 4m + -7m
(-10 + 5m) + -1(-4 + 2m) = 4m + -7m
-10 + 5m + (-4 * -1 + 2m * -1) = 4m + -7m
-10 + 5m + (4 + -2m) = 4m + -7m

Reorder the terms:
-10 + 4 + 5m + -2m = 4m + -7m

Combine like terms: -10 + 4 = -6
-6 + 5m + -2m = 4m + -7m

Combine like terms: 5m + -2m = 3m
-6 + 3m = 4m + -7m

Combine like terms: 4m + -7m = -3m
-6 + 3m = -3m

Solving
-6 + 3m = -3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '3m' to each side of the equation.
-6 + 3m + 3m = -3m + 3m

Combine like terms: 3m + 3m = 6m
-6 + 6m = -3m + 3m

Combine like terms: -3m + 3m = 0
-6 + 6m = 0

Add '6' to each side of the equation.
-6 + 6 + 6m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6m = 0 + 6
6m = 0 + 6

Combine like terms: 0 + 6 = 6
6m = 6

Divide each side by '6'.
m = 1

Simplifying
m = 1

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