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Simplifying 3.1q + -5.1 + -4.5q = -2.4q + -5.6 Reorder the terms: -5.1 + 3.1q + -4.5q = -2.4q + -5.6 Combine like terms: 3.1q + -4.5q = -1.4q -5.1 + -1.4q = -2.4q + -5.6 Reorder the terms: -5.1 + -1.4q = -5.6 + -2.4q Solving -5.1 + -1.4q = -5.6 + -2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.4q' to each side of the equation. -5.1 + -1.4q + 2.4q = -5.6 + -2.4q + 2.4q Combine like terms: -1.4q + 2.4q = 1q -5.1 + 1q = -5.6 + -2.4q + 2.4q Combine like terms: -2.4q + 2.4q = 0.0 -5.1 + 1q = -5.6 + 0.0 -5.1 + 1q = -5.6 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -5.6 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -5.6 + 5.1 1q = -5.6 + 5.1 Combine like terms: -5.6 + 5.1 = -0.5 1q = -0.5 Divide each side by '1'. q = -0.5 Simplifying q = -0.5
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