8(m+6)+6=10+m+5

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Solution for 8(m+6)+6=10+m+5 equation:


Simplifying
8(m + 6) + 6 = 10 + m + 5

Reorder the terms:
8(6 + m) + 6 = 10 + m + 5
(6 * 8 + m * 8) + 6 = 10 + m + 5
(48 + 8m) + 6 = 10 + m + 5

Reorder the terms:
48 + 6 + 8m = 10 + m + 5

Combine like terms: 48 + 6 = 54
54 + 8m = 10 + m + 5

Reorder the terms:
54 + 8m = 10 + 5 + m

Combine like terms: 10 + 5 = 15
54 + 8m = 15 + m

Solving
54 + 8m = 15 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
54 + 8m + -1m = 15 + m + -1m

Combine like terms: 8m + -1m = 7m
54 + 7m = 15 + m + -1m

Combine like terms: m + -1m = 0
54 + 7m = 15 + 0
54 + 7m = 15

Add '-54' to each side of the equation.
54 + -54 + 7m = 15 + -54

Combine like terms: 54 + -54 = 0
0 + 7m = 15 + -54
7m = 15 + -54

Combine like terms: 15 + -54 = -39
7m = -39

Divide each side by '7'.
m = -5.571428571

Simplifying
m = -5.571428571

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