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Simplifying 4.5q + -3.6 + -5.4q = -1.9q + -5.6 Reorder the terms: -3.6 + 4.5q + -5.4q = -1.9q + -5.6 Combine like terms: 4.5q + -5.4q = -0.9q -3.6 + -0.9q = -1.9q + -5.6 Reorder the terms: -3.6 + -0.9q = -5.6 + -1.9q Solving -3.6 + -0.9q = -5.6 + -1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.9q' to each side of the equation. -3.6 + -0.9q + 1.9q = -5.6 + -1.9q + 1.9q Combine like terms: -0.9q + 1.9q = 1q -3.6 + 1q = -5.6 + -1.9q + 1.9q Combine like terms: -1.9q + 1.9q = 0.0 -3.6 + 1q = -5.6 + 0.0 -3.6 + 1q = -5.6 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1q = -5.6 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1q = -5.6 + 3.6 1q = -5.6 + 3.6 Combine like terms: -5.6 + 3.6 = -2 1q = -2 Divide each side by '1'. q = -2 Simplifying q = -2
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