3(m-2)-2(3m+2)=16

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Solution for 3(m-2)-2(3m+2)=16 equation:


Simplifying
3(m + -2) + -2(3m + 2) = 16

Reorder the terms:
3(-2 + m) + -2(3m + 2) = 16
(-2 * 3 + m * 3) + -2(3m + 2) = 16
(-6 + 3m) + -2(3m + 2) = 16

Reorder the terms:
-6 + 3m + -2(2 + 3m) = 16
-6 + 3m + (2 * -2 + 3m * -2) = 16
-6 + 3m + (-4 + -6m) = 16

Reorder the terms:
-6 + -4 + 3m + -6m = 16

Combine like terms: -6 + -4 = -10
-10 + 3m + -6m = 16

Combine like terms: 3m + -6m = -3m
-10 + -3m = 16

Solving
-10 + -3m = 16

Solving for variable 'm'.

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

Add '10' to each side of the equation.
-10 + 10 + -3m = 16 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 16 + 10
-3m = 16 + 10

Combine like terms: 16 + 10 = 26
-3m = 26

Divide each side by '-3'.
m = -8.666666667

Simplifying
m = -8.666666667

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