9(11-m)=5(m-7)

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Solution for 9(11-m)=5(m-7) equation:


Simplifying
9(11 + -1m) = 5(m + -7)
(11 * 9 + -1m * 9) = 5(m + -7)
(99 + -9m) = 5(m + -7)

Reorder the terms:
99 + -9m = 5(-7 + m)
99 + -9m = (-7 * 5 + m * 5)
99 + -9m = (-35 + 5m)

Solving
99 + -9m = -35 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
99 + -9m + -5m = -35 + 5m + -5m

Combine like terms: -9m + -5m = -14m
99 + -14m = -35 + 5m + -5m

Combine like terms: 5m + -5m = 0
99 + -14m = -35 + 0
99 + -14m = -35

Add '-99' to each side of the equation.
99 + -99 + -14m = -35 + -99

Combine like terms: 99 + -99 = 0
0 + -14m = -35 + -99
-14m = -35 + -99

Combine like terms: -35 + -99 = -134
-14m = -134

Divide each side by '-14'.
m = 9.571428571

Simplifying
m = 9.571428571

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