-5+m-2=8-2(m-4)

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


Simplifying
-5 + m + -2 = 8 + -2(m + -4)

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

Combine like terms: -5 + -2 = -7
-7 + m = 8 + -2(m + -4)

Reorder the terms:
-7 + m = 8 + -2(-4 + m)
-7 + m = 8 + (-4 * -2 + m * -2)
-7 + m = 8 + (8 + -2m)

Combine like terms: 8 + 8 = 16
-7 + m = 16 + -2m

Solving
-7 + 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.
-7 + m + 2m = 16 + -2m + 2m

Combine like terms: m + 2m = 3m
-7 + 3m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0
-7 + 3m = 16 + 0
-7 + 3m = 16

Add '7' to each side of the equation.
-7 + 7 + 3m = 16 + 7

Combine like terms: -7 + 7 = 0
0 + 3m = 16 + 7
3m = 16 + 7

Combine like terms: 16 + 7 = 23
3m = 23

Divide each side by '3'.
m = 7.666666667

Simplifying
m = 7.666666667

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