-2m-14-2(m-1)=3m-(4m-7)-8m+6

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Solution for -2m-14-2(m-1)=3m-(4m-7)-8m+6 equation:


Simplifying
-2m + -14 + -2(m + -1) = 3m + -1(4m + -7) + -8m + 6

Reorder the terms:
-2m + -14 + -2(-1 + m) = 3m + -1(4m + -7) + -8m + 6
-2m + -14 + (-1 * -2 + m * -2) = 3m + -1(4m + -7) + -8m + 6
-2m + -14 + (2 + -2m) = 3m + -1(4m + -7) + -8m + 6

Reorder the terms:
-14 + 2 + -2m + -2m = 3m + -1(4m + -7) + -8m + 6

Combine like terms: -14 + 2 = -12
-12 + -2m + -2m = 3m + -1(4m + -7) + -8m + 6

Combine like terms: -2m + -2m = -4m
-12 + -4m = 3m + -1(4m + -7) + -8m + 6

Reorder the terms:
-12 + -4m = 3m + -1(-7 + 4m) + -8m + 6
-12 + -4m = 3m + (-7 * -1 + 4m * -1) + -8m + 6
-12 + -4m = 3m + (7 + -4m) + -8m + 6

Reorder the terms:
-12 + -4m = 7 + 6 + 3m + -4m + -8m

Combine like terms: 7 + 6 = 13
-12 + -4m = 13 + 3m + -4m + -8m

Combine like terms: 3m + -4m = -1m
-12 + -4m = 13 + -1m + -8m

Combine like terms: -1m + -8m = -9m
-12 + -4m = 13 + -9m

Solving
-12 + -4m = 13 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
-12 + -4m + 9m = 13 + -9m + 9m

Combine like terms: -4m + 9m = 5m
-12 + 5m = 13 + -9m + 9m

Combine like terms: -9m + 9m = 0
-12 + 5m = 13 + 0
-12 + 5m = 13

Add '12' to each side of the equation.
-12 + 12 + 5m = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 5m = 13 + 12
5m = 13 + 12

Combine like terms: 13 + 12 = 25
5m = 25

Divide each side by '5'.
m = 5

Simplifying
m = 5

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