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

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


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

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

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

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

Reorder the terms:
-4 + 5m = -1(-20 + 3m)
-4 + 5m = (-20 * -1 + 3m * -1)
-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 = 8m
-4 + 8m = 20 + -3m + 3m

Combine like terms: -3m + 3m = 0
-4 + 8m = 20 + 0
-4 + 8m = 20

Add '4' to each side of the equation.
-4 + 4 + 8m = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 8m = 20 + 4
8m = 20 + 4

Combine like terms: 20 + 4 = 24
8m = 24

Divide each side by '8'.
m = 3

Simplifying
m = 3

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