(2m+10)*2=8(3+m)-6

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Solution for (2m+10)*2=8(3+m)-6 equation: 


Simplifying
(2m + 10) * 2 = 8(3 + m) + -6

Reorder the terms:
(10 + 2m) * 2 = 8(3 + m) + -6

Reorder the terms for easier multiplication:
2(10 + 2m) = 8(3 + m) + -6
(10 * 2 + 2m * 2) = 8(3 + m) + -6
(20 + 4m) = 8(3 + m) + -6
20 + 4m = (3 * 8 + m * 8) + -6
20 + 4m = (24 + 8m) + -6

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

Combine like terms: 24 + -6 = 18
20 + 4m = 18 + 8m

Solving
20 + 4m = 18 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
20 + 4m + -8m = 18 + 8m + -8m

Combine like terms: 4m + -8m = -4m
20 + -4m = 18 + 8m + -8m

Combine like terms: 8m + -8m = 0
20 + -4m = 18 + 0
20 + -4m = 18

Add '-20' to each side of the equation.
20 + -20 + -4m = 18 + -20

Combine like terms: 20 + -20 = 0
0 + -4m = 18 + -20
-4m = 18 + -20

Combine like terms: 18 + -20 = -2
-4m = -2

Divide each side by '-4'.
m = 0.5

Simplifying
m = 0.5

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