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Simplifying 4.1q + -5.2 + -4.6q = -1.5q + -2.7 Reorder the terms: -5.2 + 4.1q + -4.6q = -1.5q + -2.7 Combine like terms: 4.1q + -4.6q = -0.5q -5.2 + -0.5q = -1.5q + -2.7 Reorder the terms: -5.2 + -0.5q = -2.7 + -1.5q Solving -5.2 + -0.5q = -2.7 + -1.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.5q' to each side of the equation. -5.2 + -0.5q + 1.5q = -2.7 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -5.2 + 1q = -2.7 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -5.2 + 1q = -2.7 + 0.0 -5.2 + 1q = -2.7 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1q = -2.7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1q = -2.7 + 5.2 1q = -2.7 + 5.2 Combine like terms: -2.7 + 5.2 = 2.5 1q = 2.5 Divide each side by '1'. q = 2.5 Simplifying q = 2.5
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