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Simplifying 5.6q + -4.5 + -5.2q = -0.6q + -1.3 Reorder the terms: -4.5 + 5.6q + -5.2q = -0.6q + -1.3 Combine like terms: 5.6q + -5.2q = 0.4q -4.5 + 0.4q = -0.6q + -1.3 Reorder the terms: -4.5 + 0.4q = -1.3 + -0.6q Solving -4.5 + 0.4q = -1.3 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -4.5 + 0.4q + 0.6q = -1.3 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -4.5 + 1q = -1.3 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -4.5 + 1q = -1.3 + 0.0 -4.5 + 1q = -1.3 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -1.3 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -1.3 + 4.5 1q = -1.3 + 4.5 Combine like terms: -1.3 + 4.5 = 3.2 1q = 3.2 Divide each side by '1'. q = 3.2 Simplifying q = 3.2
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