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Simplifying 5.1q + -2.3 + -5.7q = -1.6q + -2.9 Reorder the terms: -2.3 + 5.1q + -5.7q = -1.6q + -2.9 Combine like terms: 5.1q + -5.7q = -0.6q -2.3 + -0.6q = -1.6q + -2.9 Reorder the terms: -2.3 + -0.6q = -2.9 + -1.6q Solving -2.3 + -0.6q = -2.9 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -2.3 + -0.6q + 1.6q = -2.9 + -1.6q + 1.6q Combine like terms: -0.6q + 1.6q = 1q -2.3 + 1q = -2.9 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -2.3 + 1q = -2.9 + 0.0 -2.3 + 1q = -2.9 Add '2.3' to each side of the equation. -2.3 + 2.3 + 1q = -2.9 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 1q = -2.9 + 2.3 1q = -2.9 + 2.3 Combine like terms: -2.9 + 2.3 = -0.6 1q = -0.6 Divide each side by '1'. q = -0.6 Simplifying q = -0.6
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