8(m-5)=2(3m)-8

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Solution for 8(m-5)=2(3m)-8 equation:


Simplifying
8(m + -5) = 2(3m) + -8

Reorder the terms:
8(-5 + m) = 2(3m) + -8
(-5 * 8 + m * 8) = 2(3m) + -8
(-40 + 8m) = 2(3m) + -8

Remove parenthesis around (3m)
-40 + 8m = 2 * 3m + -8

Multiply 2 * 3
-40 + 8m = 6m + -8

Reorder the terms:
-40 + 8m = -8 + 6m

Solving
-40 + 8m = -8 + 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.
-40 + 8m + -6m = -8 + 6m + -6m

Combine like terms: 8m + -6m = 2m
-40 + 2m = -8 + 6m + -6m

Combine like terms: 6m + -6m = 0
-40 + 2m = -8 + 0
-40 + 2m = -8

Add '40' to each side of the equation.
-40 + 40 + 2m = -8 + 40

Combine like terms: -40 + 40 = 0
0 + 2m = -8 + 40
2m = -8 + 40

Combine like terms: -8 + 40 = 32
2m = 32

Divide each side by '2'.
m = 16

Simplifying
m = 16

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