-2(2m-7)+5(m-2)=13-7

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Solution for -2(2m-7)+5(m-2)=13-7 equation: 


Simplifying
-2(2m + -7) + 5(m + -2) = 13 + -7

Reorder the terms:
-2(-7 + 2m) + 5(m + -2) = 13 + -7
(-7 * -2 + 2m * -2) + 5(m + -2) = 13 + -7
(14 + -4m) + 5(m + -2) = 13 + -7

Reorder the terms:
14 + -4m + 5(-2 + m) = 13 + -7
14 + -4m + (-2 * 5 + m * 5) = 13 + -7
14 + -4m + (-10 + 5m) = 13 + -7

Reorder the terms:
14 + -10 + -4m + 5m = 13 + -7

Combine like terms: 14 + -10 = 4
4 + -4m + 5m = 13 + -7

Combine like terms: -4m + 5m = 1m
4 + 1m = 13 + -7

Combine like terms: 13 + -7 = 6
4 + 1m = 6

Solving
4 + 1m = 6

Solving for variable 'm'.

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

Add '-4' to each side of the equation.
4 + -4 + 1m = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1m = 6 + -4
1m = 6 + -4

Combine like terms: 6 + -4 = 2
1m = 2

Divide each side by '1'.
m = 2

Simplifying
m = 2

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