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Simplifying 1.5q + -3.7 + -4.8q = 4.3q + -5.7 Reorder the terms: -3.7 + 1.5q + -4.8q = 4.3q + -5.7 Combine like terms: 1.5q + -4.8q = -3.3q -3.7 + -3.3q = 4.3q + -5.7 Reorder the terms: -3.7 + -3.3q = -5.7 + 4.3q Solving -3.7 + -3.3q = -5.7 + 4.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.3q' to each side of the equation. -3.7 + -3.3q + -4.3q = -5.7 + 4.3q + -4.3q Combine like terms: -3.3q + -4.3q = -7.6q -3.7 + -7.6q = -5.7 + 4.3q + -4.3q Combine like terms: 4.3q + -4.3q = 0.0 -3.7 + -7.6q = -5.7 + 0.0 -3.7 + -7.6q = -5.7 Add '3.7' to each side of the equation. -3.7 + 3.7 + -7.6q = -5.7 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -7.6q = -5.7 + 3.7 -7.6q = -5.7 + 3.7 Combine like terms: -5.7 + 3.7 = -2 -7.6q = -2 Divide each side by '-7.6'. q = 0.2631578947 Simplifying q = 0.2631578947
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