10+10(7+8m)=7(m+1)

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Solution for 10+10(7+8m)=7(m+1) equation:


Simplifying
10 + 10(7 + 8m) = 7(m + 1)
10 + (7 * 10 + 8m * 10) = 7(m + 1)
10 + (70 + 80m) = 7(m + 1)

Combine like terms: 10 + 70 = 80
80 + 80m = 7(m + 1)

Reorder the terms:
80 + 80m = 7(1 + m)
80 + 80m = (1 * 7 + m * 7)
80 + 80m = (7 + 7m)

Solving
80 + 80m = 7 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
80 + 80m + -7m = 7 + 7m + -7m

Combine like terms: 80m + -7m = 73m
80 + 73m = 7 + 7m + -7m

Combine like terms: 7m + -7m = 0
80 + 73m = 7 + 0
80 + 73m = 7

Add '-80' to each side of the equation.
80 + -80 + 73m = 7 + -80

Combine like terms: 80 + -80 = 0
0 + 73m = 7 + -80
73m = 7 + -80

Combine like terms: 7 + -80 = -73
73m = -73

Divide each side by '73'.
m = -1

Simplifying
m = -1

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