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Simplifying 5.2q + -3.3 + -5.9q = 1.7q + -4.6 Reorder the terms: -3.3 + 5.2q + -5.9q = 1.7q + -4.6 Combine like terms: 5.2q + -5.9q = -0.7q -3.3 + -0.7q = 1.7q + -4.6 Reorder the terms: -3.3 + -0.7q = -4.6 + 1.7q Solving -3.3 + -0.7q = -4.6 + 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. -3.3 + -0.7q + -1.7q = -4.6 + 1.7q + -1.7q Combine like terms: -0.7q + -1.7q = -2.4q -3.3 + -2.4q = -4.6 + 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -3.3 + -2.4q = -4.6 + 0.0 -3.3 + -2.4q = -4.6 Add '3.3' to each side of the equation. -3.3 + 3.3 + -2.4q = -4.6 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + -2.4q = -4.6 + 3.3 -2.4q = -4.6 + 3.3 Combine like terms: -4.6 + 3.3 = -1.3 -2.4q = -1.3 Divide each side by '-2.4'. q = 0.5416666667 Simplifying q = 0.5416666667
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