-3+7-4(m-1)=9m-(5m-2)-7m+1

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Solution for -3+7-4(m-1)=9m-(5m-2)-7m+1 equation:


Simplifying
-3 + 7 + -4(m + -1) = 9m + -1(5m + -2) + -7m + 1

Reorder the terms:
-3 + 7 + -4(-1 + m) = 9m + -1(5m + -2) + -7m + 1
-3 + 7 + (-1 * -4 + m * -4) = 9m + -1(5m + -2) + -7m + 1
-3 + 7 + (4 + -4m) = 9m + -1(5m + -2) + -7m + 1

Combine like terms: -3 + 7 = 4
4 + 4 + -4m = 9m + -1(5m + -2) + -7m + 1

Combine like terms: 4 + 4 = 8
8 + -4m = 9m + -1(5m + -2) + -7m + 1

Reorder the terms:
8 + -4m = 9m + -1(-2 + 5m) + -7m + 1
8 + -4m = 9m + (-2 * -1 + 5m * -1) + -7m + 1
8 + -4m = 9m + (2 + -5m) + -7m + 1

Reorder the terms:
8 + -4m = 2 + 1 + 9m + -5m + -7m

Combine like terms: 2 + 1 = 3
8 + -4m = 3 + 9m + -5m + -7m

Combine like terms: 9m + -5m = 4m
8 + -4m = 3 + 4m + -7m

Combine like terms: 4m + -7m = -3m
8 + -4m = 3 + -3m

Solving
8 + -4m = 3 + -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.
8 + -4m + 3m = 3 + -3m + 3m

Combine like terms: -4m + 3m = -1m
8 + -1m = 3 + -3m + 3m

Combine like terms: -3m + 3m = 0
8 + -1m = 3 + 0
8 + -1m = 3

Add '-8' to each side of the equation.
8 + -8 + -1m = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 3 + -8
-1m = 3 + -8

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

Divide each side by '-1'.
m = 5

Simplifying
m = 5

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