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Simplifying 2.5q + -4.8 + -4.6q = -3.1q + -2.7 Reorder the terms: -4.8 + 2.5q + -4.6q = -3.1q + -2.7 Combine like terms: 2.5q + -4.6q = -2.1q -4.8 + -2.1q = -3.1q + -2.7 Reorder the terms: -4.8 + -2.1q = -2.7 + -3.1q Solving -4.8 + -2.1q = -2.7 + -3.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.1q' to each side of the equation. -4.8 + -2.1q + 3.1q = -2.7 + -3.1q + 3.1q Combine like terms: -2.1q + 3.1q = 1q -4.8 + 1q = -2.7 + -3.1q + 3.1q Combine like terms: -3.1q + 3.1q = 0.0 -4.8 + 1q = -2.7 + 0.0 -4.8 + 1q = -2.7 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1q = -2.7 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1q = -2.7 + 4.8 1q = -2.7 + 4.8 Combine like terms: -2.7 + 4.8 = 2.1 1q = 2.1 Divide each side by '1'. q = 2.1 Simplifying q = 2.1
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