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Simplifying -10.1q + 1.7 = -59.2 + -1.4q Reorder the terms: 1.7 + -10.1q = -59.2 + -1.4q Solving 1.7 + -10.1q = -59.2 + -1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4q' to each side of the equation. 1.7 + -10.1q + 1.4q = -59.2 + -1.4q + 1.4q Combine like terms: -10.1q + 1.4q = -8.7q 1.7 + -8.7q = -59.2 + -1.4q + 1.4q Combine like terms: -1.4q + 1.4q = 0.0 1.7 + -8.7q = -59.2 + 0.0 1.7 + -8.7q = -59.2 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -8.7q = -59.2 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -8.7q = -59.2 + -1.7 -8.7q = -59.2 + -1.7 Combine like terms: -59.2 + -1.7 = -60.9 -8.7q = -60.9 Divide each side by '-8.7'. q = 7 Simplifying q = 7
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