7(1-m)+4(8m+1)=-14

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Solution for 7(1-m)+4(8m+1)=-14 equation: 


Simplifying
7(1 + -1m) + 4(8m + 1) = -14
(1 * 7 + -1m * 7) + 4(8m + 1) = -14
(7 + -7m) + 4(8m + 1) = -14

Reorder the terms:
7 + -7m + 4(1 + 8m) = -14
7 + -7m + (1 * 4 + 8m * 4) = -14
7 + -7m + (4 + 32m) = -14

Reorder the terms:
7 + 4 + -7m + 32m = -14

Combine like terms: 7 + 4 = 11
11 + -7m + 32m = -14

Combine like terms: -7m + 32m = 25m
11 + 25m = -14

Solving
11 + 25m = -14

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + 25m = -14 + -11

Combine like terms: 11 + -11 = 0
0 + 25m = -14 + -11
25m = -14 + -11

Combine like terms: -14 + -11 = -25
25m = -25

Divide each side by '25'.
m = -1

Simplifying
m = -1

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