4(2m-20)=2(3m-8)

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Solution for 4(2m-20)=2(3m-8) equation:


Simplifying
4(2m + -20) = 2(3m + -8)

Reorder the terms:
4(-20 + 2m) = 2(3m + -8)
(-20 * 4 + 2m * 4) = 2(3m + -8)
(-80 + 8m) = 2(3m + -8)

Reorder the terms:
-80 + 8m = 2(-8 + 3m)
-80 + 8m = (-8 * 2 + 3m * 2)
-80 + 8m = (-16 + 6m)

Solving
-80 + 8m = -16 + 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.
-80 + 8m + -6m = -16 + 6m + -6m

Combine like terms: 8m + -6m = 2m
-80 + 2m = -16 + 6m + -6m

Combine like terms: 6m + -6m = 0
-80 + 2m = -16 + 0
-80 + 2m = -16

Add '80' to each side of the equation.
-80 + 80 + 2m = -16 + 80

Combine like terms: -80 + 80 = 0
0 + 2m = -16 + 80
2m = -16 + 80

Combine like terms: -16 + 80 = 64
2m = 64

Divide each side by '2'.
m = 32

Simplifying
m = 32

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