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Simplifying 5.2q + -5.7 + -5.9q = -1.7q + -4.5 Reorder the terms: -5.7 + 5.2q + -5.9q = -1.7q + -4.5 Combine like terms: 5.2q + -5.9q = -0.7q -5.7 + -0.7q = -1.7q + -4.5 Reorder the terms: -5.7 + -0.7q = -4.5 + -1.7q Solving -5.7 + -0.7q = -4.5 + -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. -5.7 + -0.7q + 1.7q = -4.5 + -1.7q + 1.7q Combine like terms: -0.7q + 1.7q = 1q -5.7 + 1q = -4.5 + -1.7q + 1.7q Combine like terms: -1.7q + 1.7q = 0.0 -5.7 + 1q = -4.5 + 0.0 -5.7 + 1q = -4.5 Add '5.7' to each side of the equation. -5.7 + 5.7 + 1q = -4.5 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 1q = -4.5 + 5.7 1q = -4.5 + 5.7 Combine like terms: -4.5 + 5.7 = 1.2 1q = 1.2 Divide each side by '1'. q = 1.2 Simplifying q = 1.2
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