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Simplifying -14.25 + -7.9q + -14.43 = 0.6q + 10.42 Reorder the terms: -14.25 + -14.43 + -7.9q = 0.6q + 10.42 Combine like terms: -14.25 + -14.43 = -28.68 -28.68 + -7.9q = 0.6q + 10.42 Reorder the terms: -28.68 + -7.9q = 10.42 + 0.6q Solving -28.68 + -7.9q = 10.42 + 0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.6q' to each side of the equation. -28.68 + -7.9q + -0.6q = 10.42 + 0.6q + -0.6q Combine like terms: -7.9q + -0.6q = -8.5q -28.68 + -8.5q = 10.42 + 0.6q + -0.6q Combine like terms: 0.6q + -0.6q = 0.0 -28.68 + -8.5q = 10.42 + 0.0 -28.68 + -8.5q = 10.42 Add '28.68' to each side of the equation. -28.68 + 28.68 + -8.5q = 10.42 + 28.68 Combine like terms: -28.68 + 28.68 = 0.00 0.00 + -8.5q = 10.42 + 28.68 -8.5q = 10.42 + 28.68 Combine like terms: 10.42 + 28.68 = 39.1 -8.5q = 39.1 Divide each side by '-8.5'. q = -4.6 Simplifying q = -4.6
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