-8m+41-4(m-2)=7m-(5m-3)-3m+2

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Solution for -8m+41-4(m-2)=7m-(5m-3)-3m+2 equation: 


Simplifying
-8m + 41 + -4(m + -2) = 7m + -1(5m + -3) + -3m + 2

Reorder the terms:
-8m + 41 + -4(-2 + m) = 7m + -1(5m + -3) + -3m + 2
-8m + 41 + (-2 * -4 + m * -4) = 7m + -1(5m + -3) + -3m + 2
-8m + 41 + (8 + -4m) = 7m + -1(5m + -3) + -3m + 2

Reorder the terms:
41 + 8 + -8m + -4m = 7m + -1(5m + -3) + -3m + 2

Combine like terms: 41 + 8 = 49
49 + -8m + -4m = 7m + -1(5m + -3) + -3m + 2

Combine like terms: -8m + -4m = -12m
49 + -12m = 7m + -1(5m + -3) + -3m + 2

Reorder the terms:
49 + -12m = 7m + -1(-3 + 5m) + -3m + 2
49 + -12m = 7m + (-3 * -1 + 5m * -1) + -3m + 2
49 + -12m = 7m + (3 + -5m) + -3m + 2

Reorder the terms:
49 + -12m = 3 + 2 + 7m + -5m + -3m

Combine like terms: 3 + 2 = 5
49 + -12m = 5 + 7m + -5m + -3m

Combine like terms: 7m + -5m = 2m
49 + -12m = 5 + 2m + -3m

Combine like terms: 2m + -3m = -1m
49 + -12m = 5 + -1m

Solving
49 + -12m = 5 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
49 + -12m + m = 5 + -1m + m

Combine like terms: -12m + m = -11m
49 + -11m = 5 + -1m + m

Combine like terms: -1m + m = 0
49 + -11m = 5 + 0
49 + -11m = 5

Add '-49' to each side of the equation.
49 + -49 + -11m = 5 + -49

Combine like terms: 49 + -49 = 0
0 + -11m = 5 + -49
-11m = 5 + -49

Combine like terms: 5 + -49 = -44
-11m = -44

Divide each side by '-11'.
m = 4

Simplifying
m = 4

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