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Simplifying 1.3q + -3.8 + -4.8q = -4.5q + -3.4 Reorder the terms: -3.8 + 1.3q + -4.8q = -4.5q + -3.4 Combine like terms: 1.3q + -4.8q = -3.5q -3.8 + -3.5q = -4.5q + -3.4 Reorder the terms: -3.8 + -3.5q = -3.4 + -4.5q Solving -3.8 + -3.5q = -3.4 + -4.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.5q' to each side of the equation. -3.8 + -3.5q + 4.5q = -3.4 + -4.5q + 4.5q Combine like terms: -3.5q + 4.5q = 1q -3.8 + 1q = -3.4 + -4.5q + 4.5q Combine like terms: -4.5q + 4.5q = 0.0 -3.8 + 1q = -3.4 + 0.0 -3.8 + 1q = -3.4 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -3.4 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -3.4 + 3.8 1q = -3.4 + 3.8 Combine like terms: -3.4 + 3.8 = 0.4 1q = 0.4 Divide each side by '1'. q = 0.4 Simplifying q = 0.4
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