-5m+26-4(m-1)=7m-(3m-3)-9m+7

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Solution for -5m+26-4(m-1)=7m-(3m-3)-9m+7 equation:


Simplifying
-5m + 26 + -4(m + -1) = 7m + -1(3m + -3) + -9m + 7

Reorder the terms:
-5m + 26 + -4(-1 + m) = 7m + -1(3m + -3) + -9m + 7
-5m + 26 + (-1 * -4 + m * -4) = 7m + -1(3m + -3) + -9m + 7
-5m + 26 + (4 + -4m) = 7m + -1(3m + -3) + -9m + 7

Reorder the terms:
26 + 4 + -5m + -4m = 7m + -1(3m + -3) + -9m + 7

Combine like terms: 26 + 4 = 30
30 + -5m + -4m = 7m + -1(3m + -3) + -9m + 7

Combine like terms: -5m + -4m = -9m
30 + -9m = 7m + -1(3m + -3) + -9m + 7

Reorder the terms:
30 + -9m = 7m + -1(-3 + 3m) + -9m + 7
30 + -9m = 7m + (-3 * -1 + 3m * -1) + -9m + 7
30 + -9m = 7m + (3 + -3m) + -9m + 7

Reorder the terms:
30 + -9m = 3 + 7 + 7m + -3m + -9m

Combine like terms: 3 + 7 = 10
30 + -9m = 10 + 7m + -3m + -9m

Combine like terms: 7m + -3m = 4m
30 + -9m = 10 + 4m + -9m

Combine like terms: 4m + -9m = -5m
30 + -9m = 10 + -5m

Solving
30 + -9m = 10 + -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.
30 + -9m + 5m = 10 + -5m + 5m

Combine like terms: -9m + 5m = -4m
30 + -4m = 10 + -5m + 5m

Combine like terms: -5m + 5m = 0
30 + -4m = 10 + 0
30 + -4m = 10

Add '-30' to each side of the equation.
30 + -30 + -4m = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -4m = 10 + -30
-4m = 10 + -30

Combine like terms: 10 + -30 = -20
-4m = -20

Divide each side by '-4'.
m = 5

Simplifying
m = 5

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