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Simplifying 5.2q + -4.2 + -5.5q = 1.3q + -1.7 Reorder the terms: -4.2 + 5.2q + -5.5q = 1.3q + -1.7 Combine like terms: 5.2q + -5.5q = -0.3q -4.2 + -0.3q = 1.3q + -1.7 Reorder the terms: -4.2 + -0.3q = -1.7 + 1.3q Solving -4.2 + -0.3q = -1.7 + 1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.3q' to each side of the equation. -4.2 + -0.3q + -1.3q = -1.7 + 1.3q + -1.3q Combine like terms: -0.3q + -1.3q = -1.6q -4.2 + -1.6q = -1.7 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -4.2 + -1.6q = -1.7 + 0.0 -4.2 + -1.6q = -1.7 Add '4.2' to each side of the equation. -4.2 + 4.2 + -1.6q = -1.7 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -1.6q = -1.7 + 4.2 -1.6q = -1.7 + 4.2 Combine like terms: -1.7 + 4.2 = 2.5 -1.6q = 2.5 Divide each side by '-1.6'. q = -1.5625 Simplifying q = -1.5625
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