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Simplifying 1.5q + -3.4 + -4.6q = -4.1q + -4.5 Reorder the terms: -3.4 + 1.5q + -4.6q = -4.1q + -4.5 Combine like terms: 1.5q + -4.6q = -3.1q -3.4 + -3.1q = -4.1q + -4.5 Reorder the terms: -3.4 + -3.1q = -4.5 + -4.1q Solving -3.4 + -3.1q = -4.5 + -4.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.1q' to each side of the equation. -3.4 + -3.1q + 4.1q = -4.5 + -4.1q + 4.1q Combine like terms: -3.1q + 4.1q = 1q -3.4 + 1q = -4.5 + -4.1q + 4.1q Combine like terms: -4.1q + 4.1q = 0.0 -3.4 + 1q = -4.5 + 0.0 -3.4 + 1q = -4.5 Add '3.4' to each side of the equation. -3.4 + 3.4 + 1q = -4.5 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 1q = -4.5 + 3.4 1q = -4.5 + 3.4 Combine like terms: -4.5 + 3.4 = -1.1 1q = -1.1 Divide each side by '1'. q = -1.1 Simplifying q = -1.1
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