8m-3(4m-9)=2(3m+2)+3

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Solution for 8m-3(4m-9)=2(3m+2)+3 equation:


Simplifying
8m + -3(4m + -9) = 2(3m + 2) + 3

Reorder the terms:
8m + -3(-9 + 4m) = 2(3m + 2) + 3
8m + (-9 * -3 + 4m * -3) = 2(3m + 2) + 3
8m + (27 + -12m) = 2(3m + 2) + 3

Reorder the terms:
27 + 8m + -12m = 2(3m + 2) + 3

Combine like terms: 8m + -12m = -4m
27 + -4m = 2(3m + 2) + 3

Reorder the terms:
27 + -4m = 2(2 + 3m) + 3
27 + -4m = (2 * 2 + 3m * 2) + 3
27 + -4m = (4 + 6m) + 3

Reorder the terms:
27 + -4m = 4 + 3 + 6m

Combine like terms: 4 + 3 = 7
27 + -4m = 7 + 6m

Solving
27 + -4m = 7 + 6m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-6m' to each side of the equation.
27 + -4m + -6m = 7 + 6m + -6m

Combine like terms: -4m + -6m = -10m
27 + -10m = 7 + 6m + -6m

Combine like terms: 6m + -6m = 0
27 + -10m = 7 + 0
27 + -10m = 7

Add '-27' to each side of the equation.
27 + -27 + -10m = 7 + -27

Combine like terms: 27 + -27 = 0
0 + -10m = 7 + -27
-10m = 7 + -27

Combine like terms: 7 + -27 = -20
-10m = -20

Divide each side by '-10'.
m = 2

Simplifying
m = 2

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