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

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


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

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

Remove parenthesis around (-2 + m)
-2 + m + -2 = 8 + -2(m + -4)

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

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

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

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

Solving
-4 + m = 16 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-4 + m + 2m = 16 + -2m + 2m

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

Combine like terms: -2m + 2m = 0
-4 + 3m = 16 + 0
-4 + 3m = 16

Add '4' to each side of the equation.
-4 + 4 + 3m = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 3m = 16 + 4
3m = 16 + 4

Combine like terms: 16 + 4 = 20
3m = 20

Divide each side by '3'.
m = 6.666666667

Simplifying
m = 6.666666667

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