10(9m+5)=-5(4m+52)

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Solution for 10(9m+5)=-5(4m+52) equation:


Simplifying
10(9m + 5) = -5(4m + 52)

Reorder the terms:
10(5 + 9m) = -5(4m + 52)
(5 * 10 + 9m * 10) = -5(4m + 52)
(50 + 90m) = -5(4m + 52)

Reorder the terms:
50 + 90m = -5(52 + 4m)
50 + 90m = (52 * -5 + 4m * -5)
50 + 90m = (-260 + -20m)

Solving
50 + 90m = -260 + -20m

Solving for variable 'm'.

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

Add '20m' to each side of the equation.
50 + 90m + 20m = -260 + -20m + 20m

Combine like terms: 90m + 20m = 110m
50 + 110m = -260 + -20m + 20m

Combine like terms: -20m + 20m = 0
50 + 110m = -260 + 0
50 + 110m = -260

Add '-50' to each side of the equation.
50 + -50 + 110m = -260 + -50

Combine like terms: 50 + -50 = 0
0 + 110m = -260 + -50
110m = -260 + -50

Combine like terms: -260 + -50 = -310
110m = -310

Divide each side by '110'.
m = -2.818181818

Simplifying
m = -2.818181818

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