-2m+11-7(m-3)=5m-(7m-7)-3m+1

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Solution for -2m+11-7(m-3)=5m-(7m-7)-3m+1 equation: 


Simplifying
-2m + 11 + -7(m + -3) = 5m + -1(7m + -7) + -3m + 1

Reorder the terms:
-2m + 11 + -7(-3 + m) = 5m + -1(7m + -7) + -3m + 1
-2m + 11 + (-3 * -7 + m * -7) = 5m + -1(7m + -7) + -3m + 1
-2m + 11 + (21 + -7m) = 5m + -1(7m + -7) + -3m + 1

Reorder the terms:
11 + 21 + -2m + -7m = 5m + -1(7m + -7) + -3m + 1

Combine like terms: 11 + 21 = 32
32 + -2m + -7m = 5m + -1(7m + -7) + -3m + 1

Combine like terms: -2m + -7m = -9m
32 + -9m = 5m + -1(7m + -7) + -3m + 1

Reorder the terms:
32 + -9m = 5m + -1(-7 + 7m) + -3m + 1
32 + -9m = 5m + (-7 * -1 + 7m * -1) + -3m + 1
32 + -9m = 5m + (7 + -7m) + -3m + 1

Reorder the terms:
32 + -9m = 7 + 1 + 5m + -7m + -3m

Combine like terms: 7 + 1 = 8
32 + -9m = 8 + 5m + -7m + -3m

Combine like terms: 5m + -7m = -2m
32 + -9m = 8 + -2m + -3m

Combine like terms: -2m + -3m = -5m
32 + -9m = 8 + -5m

Solving
32 + -9m = 8 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
32 + -9m + 5m = 8 + -5m + 5m

Combine like terms: -9m + 5m = -4m
32 + -4m = 8 + -5m + 5m

Combine like terms: -5m + 5m = 0
32 + -4m = 8 + 0
32 + -4m = 8

Add '-32' to each side of the equation.
32 + -32 + -4m = 8 + -32

Combine like terms: 32 + -32 = 0
0 + -4m = 8 + -32
-4m = 8 + -32

Combine like terms: 8 + -32 = -24
-4m = -24

Divide each side by '-4'.
m = 6

Simplifying
m = 6

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