3m+2(2m+8)=8(m+2)

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Solution for 3m+2(2m+8)=8(m+2) equation:


Simplifying
3m + 2(2m + 8) = 8(m + 2)

Reorder the terms:
3m + 2(8 + 2m) = 8(m + 2)
3m + (8 * 2 + 2m * 2) = 8(m + 2)
3m + (16 + 4m) = 8(m + 2)

Reorder the terms:
16 + 3m + 4m = 8(m + 2)

Combine like terms: 3m + 4m = 7m
16 + 7m = 8(m + 2)

Reorder the terms:
16 + 7m = 8(2 + m)
16 + 7m = (2 * 8 + m * 8)
16 + 7m = (16 + 8m)

Add '-16' to each side of the equation.
16 + -16 + 7m = 16 + -16 + 8m

Combine like terms: 16 + -16 = 0
0 + 7m = 16 + -16 + 8m
7m = 16 + -16 + 8m

Combine like terms: 16 + -16 = 0
7m = 0 + 8m
7m = 8m

Solving
7m = 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
7m + -8m = 8m + -8m

Combine like terms: 7m + -8m = -1m
-1m = 8m + -8m

Combine like terms: 8m + -8m = 0
-1m = 0

Divide each side by '-1'.
m = 0

Simplifying
m = 0

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