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Simplifying 5.3q + -3.7 + -5.8q = -1.5q + -1.2 Reorder the terms: -3.7 + 5.3q + -5.8q = -1.5q + -1.2 Combine like terms: 5.3q + -5.8q = -0.5q -3.7 + -0.5q = -1.5q + -1.2 Reorder the terms: -3.7 + -0.5q = -1.2 + -1.5q Solving -3.7 + -0.5q = -1.2 + -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. -3.7 + -0.5q + 1.5q = -1.2 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -3.7 + 1q = -1.2 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -3.7 + 1q = -1.2 + 0.0 -3.7 + 1q = -1.2 Add '3.7' to each side of the equation. -3.7 + 3.7 + 1q = -1.2 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + 1q = -1.2 + 3.7 1q = -1.2 + 3.7 Combine like terms: -1.2 + 3.7 = 2.5 1q = 2.5 Divide each side by '1'. q = 2.5 Simplifying q = 2.5
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