3(12-m)=1(m-8)

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Solution for 3(12-m)=1(m-8) equation: 


Simplifying
3(12 + -1m) = 1(m + -8)
(12 * 3 + -1m * 3) = 1(m + -8)
(36 + -3m) = 1(m + -8)

Reorder the terms:
36 + -3m = 1(-8 + m)
36 + -3m = (-8 * 1 + m * 1)
36 + -3m = (-8 + 1m)

Solving
36 + -3m = -8 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
36 + -3m + -1m = -8 + 1m + -1m

Combine like terms: -3m + -1m = -4m
36 + -4m = -8 + 1m + -1m

Combine like terms: 1m + -1m = 0
36 + -4m = -8 + 0
36 + -4m = -8

Add '-36' to each side of the equation.
36 + -36 + -4m = -8 + -36

Combine like terms: 36 + -36 = 0
0 + -4m = -8 + -36
-4m = -8 + -36

Combine like terms: -8 + -36 = -44
-4m = -44

Divide each side by '-4'.
m = 11

Simplifying
m = 11

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