85.2=-6.8m-7.5(1.2-3m)

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Solution for 85.2=-6.8m-7.5(1.2-3m) equation:


Simplifying
85.2 = -6.8m + -7.5(1.2 + -3m)
85.2 = -6.8m + (1.2 * -7.5 + -3m * -7.5)
85.2 = -6.8m + (-9 + 22.5m)

Reorder the terms:
85.2 = -9 + -6.8m + 22.5m

Combine like terms: -6.8m + 22.5m = 15.7m
85.2 = -9 + 15.7m

Solving
85.2 = -9 + 15.7m

Solving for variable 'm'.

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

Add '-15.7m' to each side of the equation.
85.2 + -15.7m = -9 + 15.7m + -15.7m

Combine like terms: 15.7m + -15.7m = 0.0
85.2 + -15.7m = -9 + 0.0
85.2 + -15.7m = -9

Add '-85.2' to each side of the equation.
85.2 + -85.2 + -15.7m = -9 + -85.2

Combine like terms: 85.2 + -85.2 = 0.0
0.0 + -15.7m = -9 + -85.2
-15.7m = -9 + -85.2

Combine like terms: -9 + -85.2 = -94.2
-15.7m = -94.2

Divide each side by '-15.7'.
m = 6

Simplifying
m = 6

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