2m-4(3m-2)=5(6+14)-7

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Solution for 2m-4(3m-2)=5(6+14)-7 equation: 


Simplifying
2m + -4(3m + -2) = 5(6 + 14) + -7

Reorder the terms:
2m + -4(-2 + 3m) = 5(6 + 14) + -7
2m + (-2 * -4 + 3m * -4) = 5(6 + 14) + -7
2m + (8 + -12m) = 5(6 + 14) + -7

Reorder the terms:
8 + 2m + -12m = 5(6 + 14) + -7

Combine like terms: 2m + -12m = -10m
8 + -10m = 5(6 + 14) + -7

Combine like terms: 6 + 14 = 20
8 + -10m = 5(20) + -7

Multiply 5 * 20
8 + -10m = 100 + -7

Combine like terms: 100 + -7 = 93
8 + -10m = 93

Solving
8 + -10m = 93

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + -8 + -10m = 93 + -8

Combine like terms: 8 + -8 = 0
0 + -10m = 93 + -8
-10m = 93 + -8

Combine like terms: 93 + -8 = 85
-10m = 85

Divide each side by '-10'.
m = -8.5

Simplifying
m = -8.5

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