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Simplifying 5.7q + -4.8 + -4.9q = -0.2q + -1.7 Reorder the terms: -4.8 + 5.7q + -4.9q = -0.2q + -1.7 Combine like terms: 5.7q + -4.9q = 0.8q -4.8 + 0.8q = -0.2q + -1.7 Reorder the terms: -4.8 + 0.8q = -1.7 + -0.2q Solving -4.8 + 0.8q = -1.7 + -0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.2q' to each side of the equation. -4.8 + 0.8q + 0.2q = -1.7 + -0.2q + 0.2q Combine like terms: 0.8q + 0.2q = 1q -4.8 + 1q = -1.7 + -0.2q + 0.2q Combine like terms: -0.2q + 0.2q = 0.0 -4.8 + 1q = -1.7 + 0.0 -4.8 + 1q = -1.7 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1q = -1.7 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1q = -1.7 + 4.8 1q = -1.7 + 4.8 Combine like terms: -1.7 + 4.8 = 3.1 1q = 3.1 Divide each side by '1'. q = 3.1 Simplifying q = 3.1
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