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Simplifying -10.3q + 1.4 = -41.6 + -1.7q Reorder the terms: 1.4 + -10.3q = -41.6 + -1.7q Solving 1.4 + -10.3q = -41.6 + -1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.7q' to each side of the equation. 1.4 + -10.3q + 1.7q = -41.6 + -1.7q + 1.7q Combine like terms: -10.3q + 1.7q = -8.6q 1.4 + -8.6q = -41.6 + -1.7q + 1.7q Combine like terms: -1.7q + 1.7q = 0.0 1.4 + -8.6q = -41.6 + 0.0 1.4 + -8.6q = -41.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -8.6q = -41.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -8.6q = -41.6 + -1.4 -8.6q = -41.6 + -1.4 Combine like terms: -41.6 + -1.4 = -43 -8.6q = -43 Divide each side by '-8.6'. q = 5 Simplifying q = 5
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