9m-4(m+1)=(3m-20)

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Solution for 9m-4(m+1)=(3m-20) equation:


Simplifying
9m + -4(m + 1) = (3m + -20)

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

Reorder the terms:
-4 + 9m + -4m = (3m + -20)

Combine like terms: 9m + -4m = 5m
-4 + 5m = (3m + -20)

Reorder the terms:
-4 + 5m = (-20 + 3m)

Remove parenthesis around (-20 + 3m)
-4 + 5m = -20 + 3m

Solving
-4 + 5m = -20 + 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.
-4 + 5m + -3m = -20 + 3m + -3m

Combine like terms: 5m + -3m = 2m
-4 + 2m = -20 + 3m + -3m

Combine like terms: 3m + -3m = 0
-4 + 2m = -20 + 0
-4 + 2m = -20

Add '4' to each side of the equation.
-4 + 4 + 2m = -20 + 4

Combine like terms: -4 + 4 = 0
0 + 2m = -20 + 4
2m = -20 + 4

Combine like terms: -20 + 4 = -16
2m = -16

Divide each side by '2'.
m = -8

Simplifying
m = -8

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