3(2+m)-4(m-2)=18

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Solution for 3(2+m)-4(m-2)=18 equation:


Simplifying
3(2 + m) + -4(m + -2) = 18
(2 * 3 + m * 3) + -4(m + -2) = 18
(6 + 3m) + -4(m + -2) = 18

Reorder the terms:
6 + 3m + -4(-2 + m) = 18
6 + 3m + (-2 * -4 + m * -4) = 18
6 + 3m + (8 + -4m) = 18

Reorder the terms:
6 + 8 + 3m + -4m = 18

Combine like terms: 6 + 8 = 14
14 + 3m + -4m = 18

Combine like terms: 3m + -4m = -1m
14 + -1m = 18

Solving
14 + -1m = 18

Solving for variable 'm'.

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

Add '-14' to each side of the equation.
14 + -14 + -1m = 18 + -14

Combine like terms: 14 + -14 = 0
0 + -1m = 18 + -14
-1m = 18 + -14

Combine like terms: 18 + -14 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4

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