9[5-2m]=-7[4m-2]

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Solution for 9[5-2m]=-7[4m-2] equation:


Simplifying
9[5 + -2m] = -7[4m + -2]
[5 * 9 + -2m * 9] = -7[4m + -2]
[45 + -18m] = -7[4m + -2]

Reorder the terms:
45 + -18m = -7[-2 + 4m]
45 + -18m = [-2 * -7 + 4m * -7]
45 + -18m = [14 + -28m]

Solving
45 + -18m = 14 + -28m

Solving for variable 'm'.

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

Add '28m' to each side of the equation.
45 + -18m + 28m = 14 + -28m + 28m

Combine like terms: -18m + 28m = 10m
45 + 10m = 14 + -28m + 28m

Combine like terms: -28m + 28m = 0
45 + 10m = 14 + 0
45 + 10m = 14

Add '-45' to each side of the equation.
45 + -45 + 10m = 14 + -45

Combine like terms: 45 + -45 = 0
0 + 10m = 14 + -45
10m = 14 + -45

Combine like terms: 14 + -45 = -31
10m = -31

Divide each side by '10'.
m = -3.1

Simplifying
m = -3.1

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