-2m-56-7(m-6)=3m-(7m-6)-8m+1

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Solution for -2m-56-7(m-6)=3m-(7m-6)-8m+1 equation:


Simplifying
-2m + -56 + -7(m + -6) = 3m + -1(7m + -6) + -8m + 1

Reorder the terms:
-2m + -56 + -7(-6 + m) = 3m + -1(7m + -6) + -8m + 1
-2m + -56 + (-6 * -7 + m * -7) = 3m + -1(7m + -6) + -8m + 1
-2m + -56 + (42 + -7m) = 3m + -1(7m + -6) + -8m + 1

Reorder the terms:
-56 + 42 + -2m + -7m = 3m + -1(7m + -6) + -8m + 1

Combine like terms: -56 + 42 = -14
-14 + -2m + -7m = 3m + -1(7m + -6) + -8m + 1

Combine like terms: -2m + -7m = -9m
-14 + -9m = 3m + -1(7m + -6) + -8m + 1

Reorder the terms:
-14 + -9m = 3m + -1(-6 + 7m) + -8m + 1
-14 + -9m = 3m + (-6 * -1 + 7m * -1) + -8m + 1
-14 + -9m = 3m + (6 + -7m) + -8m + 1

Reorder the terms:
-14 + -9m = 6 + 1 + 3m + -7m + -8m

Combine like terms: 6 + 1 = 7
-14 + -9m = 7 + 3m + -7m + -8m

Combine like terms: 3m + -7m = -4m
-14 + -9m = 7 + -4m + -8m

Combine like terms: -4m + -8m = -12m
-14 + -9m = 7 + -12m

Solving
-14 + -9m = 7 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
-14 + -9m + 12m = 7 + -12m + 12m

Combine like terms: -9m + 12m = 3m
-14 + 3m = 7 + -12m + 12m

Combine like terms: -12m + 12m = 0
-14 + 3m = 7 + 0
-14 + 3m = 7

Add '14' to each side of the equation.
-14 + 14 + 3m = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 3m = 7 + 14
3m = 7 + 14

Combine like terms: 7 + 14 = 21
3m = 21

Divide each side by '3'.
m = 7

Simplifying
m = 7

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