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Simplifying 4.5q + -1.5 + -5.8q = -2.3q + -5.2 Reorder the terms: -1.5 + 4.5q + -5.8q = -2.3q + -5.2 Combine like terms: 4.5q + -5.8q = -1.3q -1.5 + -1.3q = -2.3q + -5.2 Reorder the terms: -1.5 + -1.3q = -5.2 + -2.3q Solving -1.5 + -1.3q = -5.2 + -2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.3q' to each side of the equation. -1.5 + -1.3q + 2.3q = -5.2 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -1.5 + 1q = -5.2 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -1.5 + 1q = -5.2 + 0.0 -1.5 + 1q = -5.2 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1q = -5.2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1q = -5.2 + 1.5 1q = -5.2 + 1.5 Combine like terms: -5.2 + 1.5 = -3.7 1q = -3.7 Divide each side by '1'. q = -3.7 Simplifying q = -3.7
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