-3m+11-8(m-2)=6m-(8m-5)-2m+1

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Solution for -3m+11-8(m-2)=6m-(8m-5)-2m+1 equation: 


Simplifying
-3m + 11 + -8(m + -2) = 6m + -1(8m + -5) + -2m + 1

Reorder the terms:
-3m + 11 + -8(-2 + m) = 6m + -1(8m + -5) + -2m + 1
-3m + 11 + (-2 * -8 + m * -8) = 6m + -1(8m + -5) + -2m + 1
-3m + 11 + (16 + -8m) = 6m + -1(8m + -5) + -2m + 1

Reorder the terms:
11 + 16 + -3m + -8m = 6m + -1(8m + -5) + -2m + 1

Combine like terms: 11 + 16 = 27
27 + -3m + -8m = 6m + -1(8m + -5) + -2m + 1

Combine like terms: -3m + -8m = -11m
27 + -11m = 6m + -1(8m + -5) + -2m + 1

Reorder the terms:
27 + -11m = 6m + -1(-5 + 8m) + -2m + 1
27 + -11m = 6m + (-5 * -1 + 8m * -1) + -2m + 1
27 + -11m = 6m + (5 + -8m) + -2m + 1

Reorder the terms:
27 + -11m = 5 + 1 + 6m + -8m + -2m

Combine like terms: 5 + 1 = 6
27 + -11m = 6 + 6m + -8m + -2m

Combine like terms: 6m + -8m = -2m
27 + -11m = 6 + -2m + -2m

Combine like terms: -2m + -2m = -4m
27 + -11m = 6 + -4m

Solving
27 + -11m = 6 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
27 + -11m + 4m = 6 + -4m + 4m

Combine like terms: -11m + 4m = -7m
27 + -7m = 6 + -4m + 4m

Combine like terms: -4m + 4m = 0
27 + -7m = 6 + 0
27 + -7m = 6

Add '-27' to each side of the equation.
27 + -27 + -7m = 6 + -27

Combine like terms: 27 + -27 = 0
0 + -7m = 6 + -27
-7m = 6 + -27

Combine like terms: 6 + -27 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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