5.5(2-m)+3.2(3m-5)=7.3

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Solution for 5.5(2-m)+3.2(3m-5)=7.3 equation: 


Simplifying
5.5(2 + -1m) + 3.2(3m + -5) = 7.3
(2 * 5.5 + -1m * 5.5) + 3.2(3m + -5) = 7.3
(11 + -5.5m) + 3.2(3m + -5) = 7.3

Reorder the terms:
11 + -5.5m + 3.2(-5 + 3m) = 7.3
11 + -5.5m + (-5 * 3.2 + 3m * 3.2) = 7.3
11 + -5.5m + (-16 + 9.6m) = 7.3

Reorder the terms:
11 + -16 + -5.5m + 9.6m = 7.3

Combine like terms: 11 + -16 = -5
-5 + -5.5m + 9.6m = 7.3

Combine like terms: -5.5m + 9.6m = 4.1m
-5 + 4.1m = 7.3

Solving
-5 + 4.1m = 7.3

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 5 + 4.1m = 7.3 + 5

Combine like terms: -5 + 5 = 0
0 + 4.1m = 7.3 + 5
4.1m = 7.3 + 5

Combine like terms: 7.3 + 5 = 12.3
4.1m = 12.3

Divide each side by '4.1'.
m = 3

Simplifying
m = 3

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