4(3-m)+3(m-5)=2

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


Simplifying
4(3 + -1m) + 3(m + -5) = 2
(3 * 4 + -1m * 4) + 3(m + -5) = 2
(12 + -4m) + 3(m + -5) = 2

Reorder the terms:
12 + -4m + 3(-5 + m) = 2
12 + -4m + (-5 * 3 + m * 3) = 2
12 + -4m + (-15 + 3m) = 2

Reorder the terms:
12 + -15 + -4m + 3m = 2

Combine like terms: 12 + -15 = -3
-3 + -4m + 3m = 2

Combine like terms: -4m + 3m = -1m
-3 + -1m = 2

Solving
-3 + -1m = 2

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3 + -1m = 2 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 2 + 3
-1m = 2 + 3

Combine like terms: 2 + 3 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5

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