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Simplifying 2.5q + -4.6 + -5.2 = 1.7q + -4.6 Reorder the terms: -4.6 + -5.2 + 2.5q = 1.7q + -4.6 Combine like terms: -4.6 + -5.2 = -9.8 -9.8 + 2.5q = 1.7q + -4.6 Reorder the terms: -9.8 + 2.5q = -4.6 + 1.7q Solving -9.8 + 2.5q = -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. -9.8 + 2.5q + -1.7q = -4.6 + 1.7q + -1.7q Combine like terms: 2.5q + -1.7q = 0.8q -9.8 + 0.8q = -4.6 + 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -9.8 + 0.8q = -4.6 + 0.0 -9.8 + 0.8q = -4.6 Add '9.8' to each side of the equation. -9.8 + 9.8 + 0.8q = -4.6 + 9.8 Combine like terms: -9.8 + 9.8 = 0.0 0.0 + 0.8q = -4.6 + 9.8 0.8q = -4.6 + 9.8 Combine like terms: -4.6 + 9.8 = 5.2 0.8q = 5.2 Divide each side by '0.8'. q = 6.5 Simplifying q = 6.5
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