10(10-m)=7(2+m)

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Solution for 10(10-m)=7(2+m) equation: 


Simplifying
10(10 + -1m) = 7(2 + m)
(10 * 10 + -1m * 10) = 7(2 + m)
(100 + -10m) = 7(2 + m)
100 + -10m = (2 * 7 + m * 7)
100 + -10m = (14 + 7m)

Solving
100 + -10m = 14 + 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.
100 + -10m + -7m = 14 + 7m + -7m

Combine like terms: -10m + -7m = -17m
100 + -17m = 14 + 7m + -7m

Combine like terms: 7m + -7m = 0
100 + -17m = 14 + 0
100 + -17m = 14

Add '-100' to each side of the equation.
100 + -100 + -17m = 14 + -100

Combine like terms: 100 + -100 = 0
0 + -17m = 14 + -100
-17m = 14 + -100

Combine like terms: 14 + -100 = -86
-17m = -86

Divide each side by '-17'.
m = 5.058823529

Simplifying
m = 5.058823529

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