2m-8(m-3)=9-3m

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Solution for 2m-8(m-3)=9-3m equation:


Simplifying
2m + -8(m + -3) = 9 + -3m

Reorder the terms:
2m + -8(-3 + m) = 9 + -3m
2m + (-3 * -8 + m * -8) = 9 + -3m
2m + (24 + -8m) = 9 + -3m

Reorder the terms:
24 + 2m + -8m = 9 + -3m

Combine like terms: 2m + -8m = -6m
24 + -6m = 9 + -3m

Solving
24 + -6m = 9 + -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.
24 + -6m + 3m = 9 + -3m + 3m

Combine like terms: -6m + 3m = -3m
24 + -3m = 9 + -3m + 3m

Combine like terms: -3m + 3m = 0
24 + -3m = 9 + 0
24 + -3m = 9

Add '-24' to each side of the equation.
24 + -24 + -3m = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -3m = 9 + -24
-3m = 9 + -24

Combine like terms: 9 + -24 = -15
-3m = -15

Divide each side by '-3'.
m = 5

Simplifying
m = 5

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