-2m-13-8(m-4)=7m-(8m-3)-6m+1

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Solution for -2m-13-8(m-4)=7m-(8m-3)-6m+1 equation: 


Simplifying
-2m + -13 + -8(m + -4) = 7m + -1(8m + -3) + -6m + 1

Reorder the terms:
-2m + -13 + -8(-4 + m) = 7m + -1(8m + -3) + -6m + 1
-2m + -13 + (-4 * -8 + m * -8) = 7m + -1(8m + -3) + -6m + 1
-2m + -13 + (32 + -8m) = 7m + -1(8m + -3) + -6m + 1

Reorder the terms:
-13 + 32 + -2m + -8m = 7m + -1(8m + -3) + -6m + 1

Combine like terms: -13 + 32 = 19
19 + -2m + -8m = 7m + -1(8m + -3) + -6m + 1

Combine like terms: -2m + -8m = -10m
19 + -10m = 7m + -1(8m + -3) + -6m + 1

Reorder the terms:
19 + -10m = 7m + -1(-3 + 8m) + -6m + 1
19 + -10m = 7m + (-3 * -1 + 8m * -1) + -6m + 1
19 + -10m = 7m + (3 + -8m) + -6m + 1

Reorder the terms:
19 + -10m = 3 + 1 + 7m + -8m + -6m

Combine like terms: 3 + 1 = 4
19 + -10m = 4 + 7m + -8m + -6m

Combine like terms: 7m + -8m = -1m
19 + -10m = 4 + -1m + -6m

Combine like terms: -1m + -6m = -7m
19 + -10m = 4 + -7m

Solving
19 + -10m = 4 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
19 + -10m + 7m = 4 + -7m + 7m

Combine like terms: -10m + 7m = -3m
19 + -3m = 4 + -7m + 7m

Combine like terms: -7m + 7m = 0
19 + -3m = 4 + 0
19 + -3m = 4

Add '-19' to each side of the equation.
19 + -19 + -3m = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -3m = 4 + -19
-3m = 4 + -19

Combine like terms: 4 + -19 = -15
-3m = -15

Divide each side by '-3'.
m = 5

Simplifying
m = 5

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