362.48=8(0.9m-30.70-0.30(30.70))

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Solution for 362.48=8(0.9m-30.70-0.30(30.70)) equation: 


Simplifying
362.48 = 8(0.9m + -30.70 + -0.30(30.70))

Multiply -0.30 * 30.70
362.48 = 8(0.9m + -30.70 + -9.21)

Reorder the terms:
362.48 = 8(-30.70 + -9.21 + 0.9m)

Combine like terms: -30.70 + -9.21 = -39.91
362.48 = 8(-39.91 + 0.9m)
362.48 = (-39.91 * 8 + 0.9m * 8)
362.48 = (-319.28 + 7.2m)

Solving
362.48 = -319.28 + 7.2m

Solving for variable 'm'.

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

Add '-7.2m' to each side of the equation.
362.48 + -7.2m = -319.28 + 7.2m + -7.2m

Combine like terms: 7.2m + -7.2m = 0.0
362.48 + -7.2m = -319.28 + 0.0
362.48 + -7.2m = -319.28

Add '-362.48' to each side of the equation.
362.48 + -362.48 + -7.2m = -319.28 + -362.48

Combine like terms: 362.48 + -362.48 = 0.00
0.00 + -7.2m = -319.28 + -362.48
-7.2m = -319.28 + -362.48

Combine like terms: -319.28 + -362.48 = -681.76
-7.2m = -681.76

Divide each side by '-7.2'.
m = 94.68888889

Simplifying
m = 94.68888889

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