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Simplifying 4.1q + -2.7 + -4.6q = -1.5q + -1.7 Reorder the terms: -2.7 + 4.1q + -4.6q = -1.5q + -1.7 Combine like terms: 4.1q + -4.6q = -0.5q -2.7 + -0.5q = -1.5q + -1.7 Reorder the terms: -2.7 + -0.5q = -1.7 + -1.5q Solving -2.7 + -0.5q = -1.7 + -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. -2.7 + -0.5q + 1.5q = -1.7 + -1.5q + 1.5q Combine like terms: -0.5q + 1.5q = 1q -2.7 + 1q = -1.7 + -1.5q + 1.5q Combine like terms: -1.5q + 1.5q = 0.0 -2.7 + 1q = -1.7 + 0.0 -2.7 + 1q = -1.7 Add '2.7' to each side of the equation. -2.7 + 2.7 + 1q = -1.7 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1q = -1.7 + 2.7 1q = -1.7 + 2.7 Combine like terms: -1.7 + 2.7 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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