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Simplifying 1.5q + -3.2 + -5.6q = -5.1q + -4.4 Reorder the terms: -3.2 + 1.5q + -5.6q = -5.1q + -4.4 Combine like terms: 1.5q + -5.6q = -4.1q -3.2 + -4.1q = -5.1q + -4.4 Reorder the terms: -3.2 + -4.1q = -4.4 + -5.1q Solving -3.2 + -4.1q = -4.4 + -5.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.1q' to each side of the equation. -3.2 + -4.1q + 5.1q = -4.4 + -5.1q + 5.1q Combine like terms: -4.1q + 5.1q = 1q -3.2 + 1q = -4.4 + -5.1q + 5.1q Combine like terms: -5.1q + 5.1q = 0.0 -3.2 + 1q = -4.4 + 0.0 -3.2 + 1q = -4.4 Add '3.2' to each side of the equation. -3.2 + 3.2 + 1q = -4.4 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 1q = -4.4 + 3.2 1q = -4.4 + 3.2 Combine like terms: -4.4 + 3.2 = -1.2 1q = -1.2 Divide each side by '1'. q = -1.2 Simplifying q = -1.2
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