-3m+21-5(m-4)=9m-(7m-7)-5m+4

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Solution for -3m+21-5(m-4)=9m-(7m-7)-5m+4 equation:


Simplifying
-3m + 21 + -5(m + -4) = 9m + -1(7m + -7) + -5m + 4

Reorder the terms:
-3m + 21 + -5(-4 + m) = 9m + -1(7m + -7) + -5m + 4
-3m + 21 + (-4 * -5 + m * -5) = 9m + -1(7m + -7) + -5m + 4
-3m + 21 + (20 + -5m) = 9m + -1(7m + -7) + -5m + 4

Reorder the terms:
21 + 20 + -3m + -5m = 9m + -1(7m + -7) + -5m + 4

Combine like terms: 21 + 20 = 41
41 + -3m + -5m = 9m + -1(7m + -7) + -5m + 4

Combine like terms: -3m + -5m = -8m
41 + -8m = 9m + -1(7m + -7) + -5m + 4

Reorder the terms:
41 + -8m = 9m + -1(-7 + 7m) + -5m + 4
41 + -8m = 9m + (-7 * -1 + 7m * -1) + -5m + 4
41 + -8m = 9m + (7 + -7m) + -5m + 4

Reorder the terms:
41 + -8m = 7 + 4 + 9m + -7m + -5m

Combine like terms: 7 + 4 = 11
41 + -8m = 11 + 9m + -7m + -5m

Combine like terms: 9m + -7m = 2m
41 + -8m = 11 + 2m + -5m

Combine like terms: 2m + -5m = -3m
41 + -8m = 11 + -3m

Solving
41 + -8m = 11 + -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.
41 + -8m + 3m = 11 + -3m + 3m

Combine like terms: -8m + 3m = -5m
41 + -5m = 11 + -3m + 3m

Combine like terms: -3m + 3m = 0
41 + -5m = 11 + 0
41 + -5m = 11

Add '-41' to each side of the equation.
41 + -41 + -5m = 11 + -41

Combine like terms: 41 + -41 = 0
0 + -5m = 11 + -41
-5m = 11 + -41

Combine like terms: 11 + -41 = -30
-5m = -30

Divide each side by '-5'.
m = 6

Simplifying
m = 6

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