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Simplifying 2.5q + -5.1 + -5.1q = -3.6q + -5.4 Reorder the terms: -5.1 + 2.5q + -5.1q = -3.6q + -5.4 Combine like terms: 2.5q + -5.1q = -2.6q -5.1 + -2.6q = -3.6q + -5.4 Reorder the terms: -5.1 + -2.6q = -5.4 + -3.6q Solving -5.1 + -2.6q = -5.4 + -3.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.6q' to each side of the equation. -5.1 + -2.6q + 3.6q = -5.4 + -3.6q + 3.6q Combine like terms: -2.6q + 3.6q = 1q -5.1 + 1q = -5.4 + -3.6q + 3.6q Combine like terms: -3.6q + 3.6q = 0.0 -5.1 + 1q = -5.4 + 0.0 -5.1 + 1q = -5.4 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -5.4 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -5.4 + 5.1 1q = -5.4 + 5.1 Combine like terms: -5.4 + 5.1 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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