-7(m-10)=-6+2(m+11)

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Solution for -7(m-10)=-6+2(m+11) equation: 


Simplifying
-7(m + -10) = -6 + 2(m + 11)

Reorder the terms:
-7(-10 + m) = -6 + 2(m + 11)
(-10 * -7 + m * -7) = -6 + 2(m + 11)
(70 + -7m) = -6 + 2(m + 11)

Reorder the terms:
70 + -7m = -6 + 2(11 + m)
70 + -7m = -6 + (11 * 2 + m * 2)
70 + -7m = -6 + (22 + 2m)

Combine like terms: -6 + 22 = 16
70 + -7m = 16 + 2m

Solving
70 + -7m = 16 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
70 + -7m + -2m = 16 + 2m + -2m

Combine like terms: -7m + -2m = -9m
70 + -9m = 16 + 2m + -2m

Combine like terms: 2m + -2m = 0
70 + -9m = 16 + 0
70 + -9m = 16

Add '-70' to each side of the equation.
70 + -70 + -9m = 16 + -70

Combine like terms: 70 + -70 = 0
0 + -9m = 16 + -70
-9m = 16 + -70

Combine like terms: 16 + -70 = -54
-9m = -54

Divide each side by '-9'.
m = 6

Simplifying
m = 6

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