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Simplifying 4.5q + -1.4 + -3.6q = -0.1q + -4.6 Reorder the terms: -1.4 + 4.5q + -3.6q = -0.1q + -4.6 Combine like terms: 4.5q + -3.6q = 0.9q -1.4 + 0.9q = -0.1q + -4.6 Reorder the terms: -1.4 + 0.9q = -4.6 + -0.1q Solving -1.4 + 0.9q = -4.6 + -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -1.4 + 0.9q + 0.1q = -4.6 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -1.4 + 1q = -4.6 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -1.4 + 1q = -4.6 + 0.0 -1.4 + 1q = -4.6 Add '1.4' to each side of the equation. -1.4 + 1.4 + 1q = -4.6 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1q = -4.6 + 1.4 1q = -4.6 + 1.4 Combine like terms: -4.6 + 1.4 = -3.2 1q = -3.2 Divide each side by '1'. q = -3.2 Simplifying q = -3.2
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