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Simplifying 5.2q + -4.6 + -4.7q = -0.5q + -1.4 Reorder the terms: -4.6 + 5.2q + -4.7q = -0.5q + -1.4 Combine like terms: 5.2q + -4.7q = 0.5q -4.6 + 0.5q = -0.5q + -1.4 Reorder the terms: -4.6 + 0.5q = -1.4 + -0.5q Solving -4.6 + 0.5q = -1.4 + -0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.5q' to each side of the equation. -4.6 + 0.5q + 0.5q = -1.4 + -0.5q + 0.5q Combine like terms: 0.5q + 0.5q = 1q -4.6 + 1q = -1.4 + -0.5q + 0.5q Combine like terms: -0.5q + 0.5q = 0.0 -4.6 + 1q = -1.4 + 0.0 -4.6 + 1q = -1.4 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -1.4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -1.4 + 4.6 1q = -1.4 + 4.6 Combine like terms: -1.4 + 4.6 = 3.2 1q = 3.2 Divide each side by '1'. q = 3.2 Simplifying q = 3.2
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