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Simplifying 5.5q + -3.9 + -5.6q = -1.1q + -4.6 Reorder the terms: -3.9 + 5.5q + -5.6q = -1.1q + -4.6 Combine like terms: 5.5q + -5.6q = -0.1q -3.9 + -0.1q = -1.1q + -4.6 Reorder the terms: -3.9 + -0.1q = -4.6 + -1.1q Solving -3.9 + -0.1q = -4.6 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -3.9 + -0.1q + 1.1q = -4.6 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -3.9 + 1q = -4.6 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -3.9 + 1q = -4.6 + 0.0 -3.9 + 1q = -4.6 Add '3.9' to each side of the equation. -3.9 + 3.9 + 1q = -4.6 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + 1q = -4.6 + 3.9 1q = -4.6 + 3.9 Combine like terms: -4.6 + 3.9 = -0.7 1q = -0.7 Divide each side by '1'. q = -0.7 Simplifying q = -0.7
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