10-2(m-5)+10m=20+4(m-6)

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Solution for 10-2(m-5)+10m=20+4(m-6) equation:


Simplifying
10 + -2(m + -5) + 10m = 20 + 4(m + -6)

Reorder the terms:
10 + -2(-5 + m) + 10m = 20 + 4(m + -6)
10 + (-5 * -2 + m * -2) + 10m = 20 + 4(m + -6)
10 + (10 + -2m) + 10m = 20 + 4(m + -6)

Combine like terms: 10 + 10 = 20
20 + -2m + 10m = 20 + 4(m + -6)

Combine like terms: -2m + 10m = 8m
20 + 8m = 20 + 4(m + -6)

Reorder the terms:
20 + 8m = 20 + 4(-6 + m)
20 + 8m = 20 + (-6 * 4 + m * 4)
20 + 8m = 20 + (-24 + 4m)

Combine like terms: 20 + -24 = -4
20 + 8m = -4 + 4m

Solving
20 + 8m = -4 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
20 + 8m + -4m = -4 + 4m + -4m

Combine like terms: 8m + -4m = 4m
20 + 4m = -4 + 4m + -4m

Combine like terms: 4m + -4m = 0
20 + 4m = -4 + 0
20 + 4m = -4

Add '-20' to each side of the equation.
20 + -20 + 4m = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 4m = -4 + -20
4m = -4 + -20

Combine like terms: -4 + -20 = -24
4m = -24

Divide each side by '4'.
m = -6

Simplifying
m = -6

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