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Simplifying -10.2q + -5.62 = 2.4q + 13.63 + -11.5q Reorder the terms: -5.62 + -10.2q = 2.4q + 13.63 + -11.5q Reorder the terms: -5.62 + -10.2q = 13.63 + 2.4q + -11.5q Combine like terms: 2.4q + -11.5q = -9.1q -5.62 + -10.2q = 13.63 + -9.1q Solving -5.62 + -10.2q = 13.63 + -9.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9.1q' to each side of the equation. -5.62 + -10.2q + 9.1q = 13.63 + -9.1q + 9.1q Combine like terms: -10.2q + 9.1q = -1.1q -5.62 + -1.1q = 13.63 + -9.1q + 9.1q Combine like terms: -9.1q + 9.1q = 0.0 -5.62 + -1.1q = 13.63 + 0.0 -5.62 + -1.1q = 13.63 Add '5.62' to each side of the equation. -5.62 + 5.62 + -1.1q = 13.63 + 5.62 Combine like terms: -5.62 + 5.62 = 0.00 0.00 + -1.1q = 13.63 + 5.62 -1.1q = 13.63 + 5.62 Combine like terms: 13.63 + 5.62 = 19.25 -1.1q = 19.25 Divide each side by '-1.1'. q = -17.5 Simplifying q = -17.5
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