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Simplifying 3.8q + -4.9 + -4.5q = -1.7q + -3.1 Reorder the terms: -4.9 + 3.8q + -4.5q = -1.7q + -3.1 Combine like terms: 3.8q + -4.5q = -0.7q -4.9 + -0.7q = -1.7q + -3.1 Reorder the terms: -4.9 + -0.7q = -3.1 + -1.7q Solving -4.9 + -0.7q = -3.1 + -1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.7q' to each side of the equation. -4.9 + -0.7q + 1.7q = -3.1 + -1.7q + 1.7q Combine like terms: -0.7q + 1.7q = 1q -4.9 + 1q = -3.1 + -1.7q + 1.7q Combine like terms: -1.7q + 1.7q = 0.0 -4.9 + 1q = -3.1 + 0.0 -4.9 + 1q = -3.1 Add '4.9' to each side of the equation. -4.9 + 4.9 + 1q = -3.1 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + 1q = -3.1 + 4.9 1q = -3.1 + 4.9 Combine like terms: -3.1 + 4.9 = 1.8 1q = 1.8 Divide each side by '1'. q = 1.8 Simplifying q = 1.8
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