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Simplifying 1.5q + -3.8 + -4.7q = -4.2q + -3.7 Reorder the terms: -3.8 + 1.5q + -4.7q = -4.2q + -3.7 Combine like terms: 1.5q + -4.7q = -3.2q -3.8 + -3.2q = -4.2q + -3.7 Reorder the terms: -3.8 + -3.2q = -3.7 + -4.2q Solving -3.8 + -3.2q = -3.7 + -4.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.2q' to each side of the equation. -3.8 + -3.2q + 4.2q = -3.7 + -4.2q + 4.2q Combine like terms: -3.2q + 4.2q = 1q -3.8 + 1q = -3.7 + -4.2q + 4.2q Combine like terms: -4.2q + 4.2q = 0.0 -3.8 + 1q = -3.7 + 0.0 -3.8 + 1q = -3.7 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -3.7 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -3.7 + 3.8 1q = -3.7 + 3.8 Combine like terms: -3.7 + 3.8 = 0.1 1q = 0.1 Divide each side by '1'. q = 0.1 Simplifying q = 0.1
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