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Simplifying 5.3q + -5.5 + -5.8q = 1.5q + -3.3 Reorder the terms: -5.5 + 5.3q + -5.8q = 1.5q + -3.3 Combine like terms: 5.3q + -5.8q = -0.5q -5.5 + -0.5q = 1.5q + -3.3 Reorder the terms: -5.5 + -0.5q = -3.3 + 1.5q Solving -5.5 + -0.5q = -3.3 + 1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.5q' to each side of the equation. -5.5 + -0.5q + -1.5q = -3.3 + 1.5q + -1.5q Combine like terms: -0.5q + -1.5q = -2q -5.5 + -2q = -3.3 + 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 -5.5 + -2q = -3.3 + 0.0 -5.5 + -2q = -3.3 Add '5.5' to each side of the equation. -5.5 + 5.5 + -2q = -3.3 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -2q = -3.3 + 5.5 -2q = -3.3 + 5.5 Combine like terms: -3.3 + 5.5 = 2.2 -2q = 2.2 Divide each side by '-2'. q = -1.1 Simplifying q = -1.1
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