2(m-2)+3(m+4)-m(2-1)=16

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Solution for 2(m-2)+3(m+4)-m(2-1)=16 equation:


Simplifying
2(m + -2) + 3(m + 4) + -1m(2 + -1) = 16

Reorder the terms:
2(-2 + m) + 3(m + 4) + -1m(2 + -1) = 16
(-2 * 2 + m * 2) + 3(m + 4) + -1m(2 + -1) = 16
(-4 + 2m) + 3(m + 4) + -1m(2 + -1) = 16

Reorder the terms:
-4 + 2m + 3(4 + m) + -1m(2 + -1) = 16
-4 + 2m + (4 * 3 + m * 3) + -1m(2 + -1) = 16
-4 + 2m + (12 + 3m) + -1m(2 + -1) = 16

Combine like terms: 2 + -1 = 1
-4 + 2m + 12 + 3m + -1m(1) = 16

Reorder the terms for easier multiplication:
-4 + 2m + 12 + 3m + -1 * 1m = 16

Multiply -1 * 1
-4 + 2m + 12 + 3m + -1m = 16

Reorder the terms:
-4 + 12 + 2m + 3m + -1m = 16

Combine like terms: -4 + 12 = 8
8 + 2m + 3m + -1m = 16

Combine like terms: 2m + 3m = 5m
8 + 5m + -1m = 16

Combine like terms: 5m + -1m = 4m
8 + 4m = 16

Solving
8 + 4m = 16

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + -8 + 4m = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 4m = 16 + -8
4m = 16 + -8

Combine like terms: 16 + -8 = 8
4m = 8

Divide each side by '4'.
m = 2

Simplifying
m = 2

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