5.5(3-2q)=2(9-7q)+0.5q

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Solution for 5.5(3-2q)=2(9-7q)+0.5q equation: 


Simplifying
5.5(3 + -2q) = 2(9 + -7q) + 0.5q
(3 * 5.5 + -2q * 5.5) = 2(9 + -7q) + 0.5q
(16.5 + -11q) = 2(9 + -7q) + 0.5q
16.5 + -11q = (9 * 2 + -7q * 2) + 0.5q
16.5 + -11q = (18 + -14q) + 0.5q

Combine like terms: -14q + 0.5q = -13.5q
16.5 + -11q = 18 + -13.5q

Solving
16.5 + -11q = 18 + -13.5q

Solving for variable 'q'.

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

Add '13.5q' to each side of the equation.
16.5 + -11q + 13.5q = 18 + -13.5q + 13.5q

Combine like terms: -11q + 13.5q = 2.5q
16.5 + 2.5q = 18 + -13.5q + 13.5q

Combine like terms: -13.5q + 13.5q = 0.0
16.5 + 2.5q = 18 + 0.0
16.5 + 2.5q = 18

Add '-16.5' to each side of the equation.
16.5 + -16.5 + 2.5q = 18 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 2.5q = 18 + -16.5
2.5q = 18 + -16.5

Combine like terms: 18 + -16.5 = 1.5
2.5q = 1.5

Divide each side by '2.5'.
q = 0.6

Simplifying
q = 0.6

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