-4(2m-7)-11(-2m-8)=-4+10m+10m

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Solution for -4(2m-7)-11(-2m-8)=-4+10m+10m equation:


Simplifying
-4(2m + -7) + -11(-2m + -8) = -4 + 10m + 10m

Reorder the terms:
-4(-7 + 2m) + -11(-2m + -8) = -4 + 10m + 10m
(-7 * -4 + 2m * -4) + -11(-2m + -8) = -4 + 10m + 10m
(28 + -8m) + -11(-2m + -8) = -4 + 10m + 10m

Reorder the terms:
28 + -8m + -11(-8 + -2m) = -4 + 10m + 10m
28 + -8m + (-8 * -11 + -2m * -11) = -4 + 10m + 10m
28 + -8m + (88 + 22m) = -4 + 10m + 10m

Reorder the terms:
28 + 88 + -8m + 22m = -4 + 10m + 10m

Combine like terms: 28 + 88 = 116
116 + -8m + 22m = -4 + 10m + 10m

Combine like terms: -8m + 22m = 14m
116 + 14m = -4 + 10m + 10m

Combine like terms: 10m + 10m = 20m
116 + 14m = -4 + 20m

Solving
116 + 14m = -4 + 20m

Solving for variable 'm'.

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

Add '-20m' to each side of the equation.
116 + 14m + -20m = -4 + 20m + -20m

Combine like terms: 14m + -20m = -6m
116 + -6m = -4 + 20m + -20m

Combine like terms: 20m + -20m = 0
116 + -6m = -4 + 0
116 + -6m = -4

Add '-116' to each side of the equation.
116 + -116 + -6m = -4 + -116

Combine like terms: 116 + -116 = 0
0 + -6m = -4 + -116
-6m = -4 + -116

Combine like terms: -4 + -116 = -120
-6m = -120

Divide each side by '-6'.
m = 20

Simplifying
m = 20

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