-6(m+9)-6(-2m-1)=5(m-7)+8

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Solution for -6(m+9)-6(-2m-1)=5(m-7)+8 equation:


Simplifying
-6(m + 9) + -6(-2m + -1) = 5(m + -7) + 8

Reorder the terms:
-6(9 + m) + -6(-2m + -1) = 5(m + -7) + 8
(9 * -6 + m * -6) + -6(-2m + -1) = 5(m + -7) + 8
(-54 + -6m) + -6(-2m + -1) = 5(m + -7) + 8

Reorder the terms:
-54 + -6m + -6(-1 + -2m) = 5(m + -7) + 8
-54 + -6m + (-1 * -6 + -2m * -6) = 5(m + -7) + 8
-54 + -6m + (6 + 12m) = 5(m + -7) + 8

Reorder the terms:
-54 + 6 + -6m + 12m = 5(m + -7) + 8

Combine like terms: -54 + 6 = -48
-48 + -6m + 12m = 5(m + -7) + 8

Combine like terms: -6m + 12m = 6m
-48 + 6m = 5(m + -7) + 8

Reorder the terms:
-48 + 6m = 5(-7 + m) + 8
-48 + 6m = (-7 * 5 + m * 5) + 8
-48 + 6m = (-35 + 5m) + 8

Reorder the terms:
-48 + 6m = -35 + 8 + 5m

Combine like terms: -35 + 8 = -27
-48 + 6m = -27 + 5m

Solving
-48 + 6m = -27 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-48 + 6m + -5m = -27 + 5m + -5m

Combine like terms: 6m + -5m = 1m
-48 + 1m = -27 + 5m + -5m

Combine like terms: 5m + -5m = 0
-48 + 1m = -27 + 0
-48 + 1m = -27

Add '48' to each side of the equation.
-48 + 48 + 1m = -27 + 48

Combine like terms: -48 + 48 = 0
0 + 1m = -27 + 48
1m = -27 + 48

Combine like terms: -27 + 48 = 21
1m = 21

Divide each side by '1'.
m = 21

Simplifying
m = 21

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