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Simplifying 1.7q + -1.6 + -5.9q = 5.2q + -4.1 Reorder the terms: -1.6 + 1.7q + -5.9q = 5.2q + -4.1 Combine like terms: 1.7q + -5.9q = -4.2q -1.6 + -4.2q = 5.2q + -4.1 Reorder the terms: -1.6 + -4.2q = -4.1 + 5.2q Solving -1.6 + -4.2q = -4.1 + 5.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.2q' to each side of the equation. -1.6 + -4.2q + -5.2q = -4.1 + 5.2q + -5.2q Combine like terms: -4.2q + -5.2q = -9.4q -1.6 + -9.4q = -4.1 + 5.2q + -5.2q Combine like terms: 5.2q + -5.2q = 0.0 -1.6 + -9.4q = -4.1 + 0.0 -1.6 + -9.4q = -4.1 Add '1.6' to each side of the equation. -1.6 + 1.6 + -9.4q = -4.1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -9.4q = -4.1 + 1.6 -9.4q = -4.1 + 1.6 Combine like terms: -4.1 + 1.6 = -2.5 -9.4q = -2.5 Divide each side by '-9.4'. q = 0.2659574468 Simplifying q = 0.2659574468
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