7=3.5m-2.5(5.4-6m)

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Solution for 7=3.5m-2.5(5.4-6m) equation: 


Simplifying
7 = 3.5m + -2.5(5.4 + -6m)
7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
7 = 3.5m + (-13.5 + 15m)

Reorder the terms:
7 = -13.5 + 3.5m + 15m

Combine like terms: 3.5m + 15m = 18.5m
7 = -13.5 + 18.5m

Solving
7 = -13.5 + 18.5m

Solving for variable 'm'.

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

Add '-18.5m' to each side of the equation.
7 + -18.5m = -13.5 + 18.5m + -18.5m

Combine like terms: 18.5m + -18.5m = 0.0
7 + -18.5m = -13.5 + 0.0
7 + -18.5m = -13.5

Add '-7' to each side of the equation.
7 + -7 + -18.5m = -13.5 + -7

Combine like terms: 7 + -7 = 0
0 + -18.5m = -13.5 + -7
-18.5m = -13.5 + -7

Combine like terms: -13.5 + -7 = -20.5
-18.5m = -20.5

Divide each side by '-18.5'.
m = 1.108108108

Simplifying
m = 1.108108108

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