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

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


Simplifying
2(m + -8) + 9 = 3(4 + -1m) + -4

Reorder the terms:
2(-8 + m) + 9 = 3(4 + -1m) + -4
(-8 * 2 + m * 2) + 9 = 3(4 + -1m) + -4
(-16 + 2m) + 9 = 3(4 + -1m) + -4

Reorder the terms:
-16 + 9 + 2m = 3(4 + -1m) + -4

Combine like terms: -16 + 9 = -7
-7 + 2m = 3(4 + -1m) + -4
-7 + 2m = (4 * 3 + -1m * 3) + -4
-7 + 2m = (12 + -3m) + -4

Reorder the terms:
-7 + 2m = 12 + -4 + -3m

Combine like terms: 12 + -4 = 8
-7 + 2m = 8 + -3m

Solving
-7 + 2m = 8 + -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.
-7 + 2m + 3m = 8 + -3m + 3m

Combine like terms: 2m + 3m = 5m
-7 + 5m = 8 + -3m + 3m

Combine like terms: -3m + 3m = 0
-7 + 5m = 8 + 0
-7 + 5m = 8

Add '7' to each side of the equation.
-7 + 7 + 5m = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5m = 8 + 7
5m = 8 + 7

Combine like terms: 8 + 7 = 15
5m = 15

Divide each side by '5'.
m = 3

Simplifying
m = 3

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