-2m+42-9(m-2)=6m-(5m-3)-4m+1

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Solution for -2m+42-9(m-2)=6m-(5m-3)-4m+1 equation: 


Simplifying
-2m + 42 + -9(m + -2) = 6m + -1(5m + -3) + -4m + 1

Reorder the terms:
-2m + 42 + -9(-2 + m) = 6m + -1(5m + -3) + -4m + 1
-2m + 42 + (-2 * -9 + m * -9) = 6m + -1(5m + -3) + -4m + 1
-2m + 42 + (18 + -9m) = 6m + -1(5m + -3) + -4m + 1

Reorder the terms:
42 + 18 + -2m + -9m = 6m + -1(5m + -3) + -4m + 1

Combine like terms: 42 + 18 = 60
60 + -2m + -9m = 6m + -1(5m + -3) + -4m + 1

Combine like terms: -2m + -9m = -11m
60 + -11m = 6m + -1(5m + -3) + -4m + 1

Reorder the terms:
60 + -11m = 6m + -1(-3 + 5m) + -4m + 1
60 + -11m = 6m + (-3 * -1 + 5m * -1) + -4m + 1
60 + -11m = 6m + (3 + -5m) + -4m + 1

Reorder the terms:
60 + -11m = 3 + 1 + 6m + -5m + -4m

Combine like terms: 3 + 1 = 4
60 + -11m = 4 + 6m + -5m + -4m

Combine like terms: 6m + -5m = 1m
60 + -11m = 4 + 1m + -4m

Combine like terms: 1m + -4m = -3m
60 + -11m = 4 + -3m

Solving
60 + -11m = 4 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
60 + -11m + 3m = 4 + -3m + 3m

Combine like terms: -11m + 3m = -8m
60 + -8m = 4 + -3m + 3m

Combine like terms: -3m + 3m = 0
60 + -8m = 4 + 0
60 + -8m = 4

Add '-60' to each side of the equation.
60 + -60 + -8m = 4 + -60

Combine like terms: 60 + -60 = 0
0 + -8m = 4 + -60
-8m = 4 + -60

Combine like terms: 4 + -60 = -56
-8m = -56

Divide each side by '-8'.
m = 7

Simplifying
m = 7

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