-(m+6)-5(-3m-4)=-42

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Solution for -(m+6)-5(-3m-4)=-42 equation:


Simplifying
-1(m + 6) + -5(-3m + -4) = -42

Reorder the terms:
-1(6 + m) + -5(-3m + -4) = -42
(6 * -1 + m * -1) + -5(-3m + -4) = -42
(-6 + -1m) + -5(-3m + -4) = -42

Reorder the terms:
-6 + -1m + -5(-4 + -3m) = -42
-6 + -1m + (-4 * -5 + -3m * -5) = -42
-6 + -1m + (20 + 15m) = -42

Reorder the terms:
-6 + 20 + -1m + 15m = -42

Combine like terms: -6 + 20 = 14
14 + -1m + 15m = -42

Combine like terms: -1m + 15m = 14m
14 + 14m = -42

Solving
14 + 14m = -42

Solving for variable 'm'.

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

Add '-14' to each side of the equation.
14 + -14 + 14m = -42 + -14

Combine like terms: 14 + -14 = 0
0 + 14m = -42 + -14
14m = -42 + -14

Combine like terms: -42 + -14 = -56
14m = -56

Divide each side by '14'.
m = -4

Simplifying
m = -4

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