-5(m-10)=6(m+30)

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Solution for -5(m-10)=6(m+30) equation:


Simplifying
-5(m + -10) = 6(m + 30)

Reorder the terms:
-5(-10 + m) = 6(m + 30)
(-10 * -5 + m * -5) = 6(m + 30)
(50 + -5m) = 6(m + 30)

Reorder the terms:
50 + -5m = 6(30 + m)
50 + -5m = (30 * 6 + m * 6)
50 + -5m = (180 + 6m)

Solving
50 + -5m = 180 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
50 + -5m + -6m = 180 + 6m + -6m

Combine like terms: -5m + -6m = -11m
50 + -11m = 180 + 6m + -6m

Combine like terms: 6m + -6m = 0
50 + -11m = 180 + 0
50 + -11m = 180

Add '-50' to each side of the equation.
50 + -50 + -11m = 180 + -50

Combine like terms: 50 + -50 = 0
0 + -11m = 180 + -50
-11m = 180 + -50

Combine like terms: 180 + -50 = 130
-11m = 130

Divide each side by '-11'.
m = -11.81818182

Simplifying
m = -11.81818182

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