-5(1+3m)=-7-2(7m-7)

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Solution for -5(1+3m)=-7-2(7m-7) equation:


Simplifying
-5(1 + 3m) = -7 + -2(7m + -7)
(1 * -5 + 3m * -5) = -7 + -2(7m + -7)
(-5 + -15m) = -7 + -2(7m + -7)

Reorder the terms:
-5 + -15m = -7 + -2(-7 + 7m)
-5 + -15m = -7 + (-7 * -2 + 7m * -2)
-5 + -15m = -7 + (14 + -14m)

Combine like terms: -7 + 14 = 7
-5 + -15m = 7 + -14m

Solving
-5 + -15m = 7 + -14m

Solving for variable 'm'.

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

Add '14m' to each side of the equation.
-5 + -15m + 14m = 7 + -14m + 14m

Combine like terms: -15m + 14m = -1m
-5 + -1m = 7 + -14m + 14m

Combine like terms: -14m + 14m = 0
-5 + -1m = 7 + 0
-5 + -1m = 7

Add '5' to each side of the equation.
-5 + 5 + -1m = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 7 + 5
-1m = 7 + 5

Combine like terms: 7 + 5 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12

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