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

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Solution for -5(m+7)=-(1-4m)-7m equation:


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

Reorder the terms:
-5(7 + m) = -1(1 + -4m) + -7m
(7 * -5 + m * -5) = -1(1 + -4m) + -7m
(-35 + -5m) = -1(1 + -4m) + -7m
-35 + -5m = (1 * -1 + -4m * -1) + -7m
-35 + -5m = (-1 + 4m) + -7m

Combine like terms: 4m + -7m = -3m
-35 + -5m = -1 + -3m

Solving
-35 + -5m = -1 + -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.
-35 + -5m + 3m = -1 + -3m + 3m

Combine like terms: -5m + 3m = -2m
-35 + -2m = -1 + -3m + 3m

Combine like terms: -3m + 3m = 0
-35 + -2m = -1 + 0
-35 + -2m = -1

Add '35' to each side of the equation.
-35 + 35 + -2m = -1 + 35

Combine like terms: -35 + 35 = 0
0 + -2m = -1 + 35
-2m = -1 + 35

Combine like terms: -1 + 35 = 34
-2m = 34

Divide each side by '-2'.
m = -17

Simplifying
m = -17

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