3(m-6)+2(m+4)=4m-2

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


Simplifying
3(m + -6) + 2(m + 4) = 4m + -2

Reorder the terms:
3(-6 + m) + 2(m + 4) = 4m + -2
(-6 * 3 + m * 3) + 2(m + 4) = 4m + -2
(-18 + 3m) + 2(m + 4) = 4m + -2

Reorder the terms:
-18 + 3m + 2(4 + m) = 4m + -2
-18 + 3m + (4 * 2 + m * 2) = 4m + -2
-18 + 3m + (8 + 2m) = 4m + -2

Reorder the terms:
-18 + 8 + 3m + 2m = 4m + -2

Combine like terms: -18 + 8 = -10
-10 + 3m + 2m = 4m + -2

Combine like terms: 3m + 2m = 5m
-10 + 5m = 4m + -2

Reorder the terms:
-10 + 5m = -2 + 4m

Solving
-10 + 5m = -2 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-10 + 5m + -4m = -2 + 4m + -4m

Combine like terms: 5m + -4m = 1m
-10 + 1m = -2 + 4m + -4m

Combine like terms: 4m + -4m = 0
-10 + 1m = -2 + 0
-10 + 1m = -2

Add '10' to each side of the equation.
-10 + 10 + 1m = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 1m = -2 + 10
1m = -2 + 10

Combine like terms: -2 + 10 = 8
1m = 8

Divide each side by '1'.
m = 8

Simplifying
m = 8

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