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Simplifying 4.5q + -3.6 + -5.8q = -2.5q + -1.5 Reorder the terms: -3.6 + 4.5q + -5.8q = -2.5q + -1.5 Combine like terms: 4.5q + -5.8q = -1.3q -3.6 + -1.3q = -2.5q + -1.5 Reorder the terms: -3.6 + -1.3q = -1.5 + -2.5q Solving -3.6 + -1.3q = -1.5 + -2.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.5q' to each side of the equation. -3.6 + -1.3q + 2.5q = -1.5 + -2.5q + 2.5q Combine like terms: -1.3q + 2.5q = 1.2q -3.6 + 1.2q = -1.5 + -2.5q + 2.5q Combine like terms: -2.5q + 2.5q = 0.0 -3.6 + 1.2q = -1.5 + 0.0 -3.6 + 1.2q = -1.5 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.2q = -1.5 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.2q = -1.5 + 3.6 1.2q = -1.5 + 3.6 Combine like terms: -1.5 + 3.6 = 2.1 1.2q = 2.1 Divide each side by '1.2'. q = 1.75 Simplifying q = 1.75
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