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Simplifying 3.2q + -4.6 + -5.9q = 1.7q + -4.6 Reorder the terms: -4.6 + 3.2q + -5.9q = 1.7q + -4.6 Combine like terms: 3.2q + -5.9q = -2.7q -4.6 + -2.7q = 1.7q + -4.6 Reorder the terms: -4.6 + -2.7q = -4.6 + 1.7q Add '4.6' to each side of the equation. -4.6 + 4.6 + -2.7q = -4.6 + 4.6 + 1.7q Combine like terms: -4.6 + 4.6 = 0.0 0.0 + -2.7q = -4.6 + 4.6 + 1.7q -2.7q = -4.6 + 4.6 + 1.7q Combine like terms: -4.6 + 4.6 = 0.0 -2.7q = 0.0 + 1.7q -2.7q = 1.7q Solving -2.7q = 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. -2.7q + -1.7q = 1.7q + -1.7q Combine like terms: -2.7q + -1.7q = -4.4q -4.4q = 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -4.4q = 0.0 Divide each side by '-4.4'. q = 0 Simplifying q = 0
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