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Simplifying 5.2q + -3.3 + -5.9q = 1.7 + -4.6 Reorder the terms: -3.3 + 5.2q + -5.9q = 1.7 + -4.6 Combine like terms: 5.2q + -5.9q = -0.7q -3.3 + -0.7q = 1.7 + -4.6 Combine like terms: 1.7 + -4.6 = -2.9 -3.3 + -0.7q = -2.9 Solving -3.3 + -0.7q = -2.9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.3' to each side of the equation. -3.3 + 3.3 + -0.7q = -2.9 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + -0.7q = -2.9 + 3.3 -0.7q = -2.9 + 3.3 Combine like terms: -2.9 + 3.3 = 0.4 -0.7q = 0.4 Divide each side by '-0.7'. q = -0.5714285714 Simplifying q = -0.5714285714
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