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

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


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

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

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

Solving
-2 + 2m = 7 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
-2 + 2m + m = 7 + -1m + m

Combine like terms: 2m + m = 3m
-2 + 3m = 7 + -1m + m

Combine like terms: -1m + m = 0
-2 + 3m = 7 + 0
-2 + 3m = 7

Add '2' to each side of the equation.
-2 + 2 + 3m = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3m = 7 + 2
3m = 7 + 2

Combine like terms: 7 + 2 = 9
3m = 9

Divide each side by '3'.
m = 3

Simplifying
m = 3

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