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Simplifying 4.2q + -5.5 + -4.5q = -1.3q + -3.2 Reorder the terms: -5.5 + 4.2q + -4.5q = -1.3q + -3.2 Combine like terms: 4.2q + -4.5q = -0.3q -5.5 + -0.3q = -1.3q + -3.2 Reorder the terms: -5.5 + -0.3q = -3.2 + -1.3q Solving -5.5 + -0.3q = -3.2 + -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. -5.5 + -0.3q + 1.3q = -3.2 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -5.5 + 1q = -3.2 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -5.5 + 1q = -3.2 + 0.0 -5.5 + 1q = -3.2 Add '5.5' to each side of the equation. -5.5 + 5.5 + 1q = -3.2 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1q = -3.2 + 5.5 1q = -3.2 + 5.5 Combine like terms: -3.2 + 5.5 = 2.3 1q = 2.3 Divide each side by '1'. q = 2.3 Simplifying q = 2.3
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