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Simplifying 5.2q + -1.2 + -5.7q = -1.5q + -4.8 Reorder the terms: -1.2 + 5.2q + -5.7q = -1.5q + -4.8 Combine like terms: 5.2q + -5.7q = -0.5q -1.2 + -0.5q = -1.5q + -4.8 Reorder the terms: -1.2 + -0.5q = -4.8 + -1.5q Solving -1.2 + -0.5q = -4.8 + -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. -1.2 + -0.5q + 1.5q = -4.8 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -1.2 + 1q = -4.8 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -1.2 + 1q = -4.8 + 0.0 -1.2 + 1q = -4.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1q = -4.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1q = -4.8 + 1.2 1q = -4.8 + 1.2 Combine like terms: -4.8 + 1.2 = -3.6 1q = -3.6 Divide each side by '1'. q = -3.6 Simplifying q = -3.6
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