8(m+7)=7m+6(m+6)

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Solution for 8(m+7)=7m+6(m+6) equation:


Simplifying
8(m + 7) = 7m + 6(m + 6)

Reorder the terms:
8(7 + m) = 7m + 6(m + 6)
(7 * 8 + m * 8) = 7m + 6(m + 6)
(56 + 8m) = 7m + 6(m + 6)

Reorder the terms:
56 + 8m = 7m + 6(6 + m)
56 + 8m = 7m + (6 * 6 + m * 6)
56 + 8m = 7m + (36 + 6m)

Reorder the terms:
56 + 8m = 36 + 7m + 6m

Combine like terms: 7m + 6m = 13m
56 + 8m = 36 + 13m

Solving
56 + 8m = 36 + 13m

Solving for variable 'm'.

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

Add '-13m' to each side of the equation.
56 + 8m + -13m = 36 + 13m + -13m

Combine like terms: 8m + -13m = -5m
56 + -5m = 36 + 13m + -13m

Combine like terms: 13m + -13m = 0
56 + -5m = 36 + 0
56 + -5m = 36

Add '-56' to each side of the equation.
56 + -56 + -5m = 36 + -56

Combine like terms: 56 + -56 = 0
0 + -5m = 36 + -56
-5m = 36 + -56

Combine like terms: 36 + -56 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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