10m+8=12+2m+4(m+5)

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Solution for 10m+8=12+2m+4(m+5) equation:


Simplifying
10m + 8 = 12 + 2m + 4(m + 5)

Reorder the terms:
8 + 10m = 12 + 2m + 4(m + 5)

Reorder the terms:
8 + 10m = 12 + 2m + 4(5 + m)
8 + 10m = 12 + 2m + (5 * 4 + m * 4)
8 + 10m = 12 + 2m + (20 + 4m)

Reorder the terms:
8 + 10m = 12 + 20 + 2m + 4m

Combine like terms: 12 + 20 = 32
8 + 10m = 32 + 2m + 4m

Combine like terms: 2m + 4m = 6m
8 + 10m = 32 + 6m

Solving
8 + 10m = 32 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
8 + 10m + -6m = 32 + 6m + -6m

Combine like terms: 10m + -6m = 4m
8 + 4m = 32 + 6m + -6m

Combine like terms: 6m + -6m = 0
8 + 4m = 32 + 0
8 + 4m = 32

Add '-8' to each side of the equation.
8 + -8 + 4m = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 4m = 32 + -8
4m = 32 + -8

Combine like terms: 32 + -8 = 24
4m = 24

Divide each side by '4'.
m = 6

Simplifying
m = 6

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