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Simplifying 1.6q + -1.5 + -0.7 = 0.1q + -5.7 Reorder the terms: -1.5 + -0.7 + 1.6q = 0.1q + -5.7 Combine like terms: -1.5 + -0.7 = -2.2 -2.2 + 1.6q = 0.1q + -5.7 Reorder the terms: -2.2 + 1.6q = -5.7 + 0.1q Solving -2.2 + 1.6q = -5.7 + 0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.1q' to each side of the equation. -2.2 + 1.6q + -0.1q = -5.7 + 0.1q + -0.1q Combine like terms: 1.6q + -0.1q = 1.5q -2.2 + 1.5q = -5.7 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -2.2 + 1.5q = -5.7 + 0.0 -2.2 + 1.5q = -5.7 Add '2.2' to each side of the equation. -2.2 + 2.2 + 1.5q = -5.7 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 1.5q = -5.7 + 2.2 1.5q = -5.7 + 2.2 Combine like terms: -5.7 + 2.2 = -3.5 1.5q = -3.5 Divide each side by '1.5'. q = -2.333333333 Simplifying q = -2.333333333
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