-7(1-m)-2=2(m-2)

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Solution for -7(1-m)-2=2(m-2) equation:


Simplifying
-7(1 + -1m) + -2 = 2(m + -2)
(1 * -7 + -1m * -7) + -2 = 2(m + -2)
(-7 + 7m) + -2 = 2(m + -2)

Reorder the terms:
-7 + -2 + 7m = 2(m + -2)

Combine like terms: -7 + -2 = -9
-9 + 7m = 2(m + -2)

Reorder the terms:
-9 + 7m = 2(-2 + m)
-9 + 7m = (-2 * 2 + m * 2)
-9 + 7m = (-4 + 2m)

Solving
-9 + 7m = -4 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-9 + 7m + -2m = -4 + 2m + -2m

Combine like terms: 7m + -2m = 5m
-9 + 5m = -4 + 2m + -2m

Combine like terms: 2m + -2m = 0
-9 + 5m = -4 + 0
-9 + 5m = -4

Add '9' to each side of the equation.
-9 + 9 + 5m = -4 + 9

Combine like terms: -9 + 9 = 0
0 + 5m = -4 + 9
5m = -4 + 9

Combine like terms: -4 + 9 = 5
5m = 5

Divide each side by '5'.
m = 1

Simplifying
m = 1

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