14(3m+8)=2+2m-11

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Solution for 14(3m+8)=2+2m-11 equation:


Simplifying
14(3m + 8) = 2 + 2m + -11

Reorder the terms:
14(8 + 3m) = 2 + 2m + -11
(8 * 14 + 3m * 14) = 2 + 2m + -11
(112 + 42m) = 2 + 2m + -11

Reorder the terms:
112 + 42m = 2 + -11 + 2m

Combine like terms: 2 + -11 = -9
112 + 42m = -9 + 2m

Solving
112 + 42m = -9 + 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.
112 + 42m + -2m = -9 + 2m + -2m

Combine like terms: 42m + -2m = 40m
112 + 40m = -9 + 2m + -2m

Combine like terms: 2m + -2m = 0
112 + 40m = -9 + 0
112 + 40m = -9

Add '-112' to each side of the equation.
112 + -112 + 40m = -9 + -112

Combine like terms: 112 + -112 = 0
0 + 40m = -9 + -112
40m = -9 + -112

Combine like terms: -9 + -112 = -121
40m = -121

Divide each side by '40'.
m = -3.025

Simplifying
m = -3.025

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