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Simplifying 1.6q + -1.1 + -5.7q = -5.1q + -1.4 Reorder the terms: -1.1 + 1.6q + -5.7q = -5.1q + -1.4 Combine like terms: 1.6q + -5.7q = -4.1q -1.1 + -4.1q = -5.1q + -1.4 Reorder the terms: -1.1 + -4.1q = -1.4 + -5.1q Solving -1.1 + -4.1q = -1.4 + -5.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.1q' to each side of the equation. -1.1 + -4.1q + 5.1q = -1.4 + -5.1q + 5.1q Combine like terms: -4.1q + 5.1q = 1q -1.1 + 1q = -1.4 + -5.1q + 5.1q Combine like terms: -5.1q + 5.1q = 0.0 -1.1 + 1q = -1.4 + 0.0 -1.1 + 1q = -1.4 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1q = -1.4 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1q = -1.4 + 1.1 1q = -1.4 + 1.1 Combine like terms: -1.4 + 1.1 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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