8(1-m)+2(4-m)=3(6-3m)-5(m-2)

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Solution for 8(1-m)+2(4-m)=3(6-3m)-5(m-2) equation: 


Simplifying
8(1 + -1m) + 2(4 + -1m) = 3(6 + -3m) + -5(m + -2)
(1 * 8 + -1m * 8) + 2(4 + -1m) = 3(6 + -3m) + -5(m + -2)
(8 + -8m) + 2(4 + -1m) = 3(6 + -3m) + -5(m + -2)
8 + -8m + (4 * 2 + -1m * 2) = 3(6 + -3m) + -5(m + -2)
8 + -8m + (8 + -2m) = 3(6 + -3m) + -5(m + -2)

Reorder the terms:
8 + 8 + -8m + -2m = 3(6 + -3m) + -5(m + -2)

Combine like terms: 8 + 8 = 16
16 + -8m + -2m = 3(6 + -3m) + -5(m + -2)

Combine like terms: -8m + -2m = -10m
16 + -10m = 3(6 + -3m) + -5(m + -2)
16 + -10m = (6 * 3 + -3m * 3) + -5(m + -2)
16 + -10m = (18 + -9m) + -5(m + -2)

Reorder the terms:
16 + -10m = 18 + -9m + -5(-2 + m)
16 + -10m = 18 + -9m + (-2 * -5 + m * -5)
16 + -10m = 18 + -9m + (10 + -5m)

Reorder the terms:
16 + -10m = 18 + 10 + -9m + -5m

Combine like terms: 18 + 10 = 28
16 + -10m = 28 + -9m + -5m

Combine like terms: -9m + -5m = -14m
16 + -10m = 28 + -14m

Solving
16 + -10m = 28 + -14m

Solving for variable 'm'.

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

Add '14m' to each side of the equation.
16 + -10m + 14m = 28 + -14m + 14m

Combine like terms: -10m + 14m = 4m
16 + 4m = 28 + -14m + 14m

Combine like terms: -14m + 14m = 0
16 + 4m = 28 + 0
16 + 4m = 28

Add '-16' to each side of the equation.
16 + -16 + 4m = 28 + -16

Combine like terms: 16 + -16 = 0
0 + 4m = 28 + -16
4m = 28 + -16

Combine like terms: 28 + -16 = 12
4m = 12

Divide each side by '4'.
m = 3

Simplifying
m = 3

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