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Simplifying -18.7q + -14.52 = -11.1q + 6.27 + 17.97 Reorder the terms: -14.52 + -18.7q = -11.1q + 6.27 + 17.97 Reorder the terms: -14.52 + -18.7q = 6.27 + 17.97 + -11.1q Combine like terms: 6.27 + 17.97 = 24.24 -14.52 + -18.7q = 24.24 + -11.1q Solving -14.52 + -18.7q = 24.24 + -11.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11.1q' to each side of the equation. -14.52 + -18.7q + 11.1q = 24.24 + -11.1q + 11.1q Combine like terms: -18.7q + 11.1q = -7.6q -14.52 + -7.6q = 24.24 + -11.1q + 11.1q Combine like terms: -11.1q + 11.1q = 0.0 -14.52 + -7.6q = 24.24 + 0.0 -14.52 + -7.6q = 24.24 Add '14.52' to each side of the equation. -14.52 + 14.52 + -7.6q = 24.24 + 14.52 Combine like terms: -14.52 + 14.52 = 0.00 0.00 + -7.6q = 24.24 + 14.52 -7.6q = 24.24 + 14.52 Combine like terms: 24.24 + 14.52 = 38.76 -7.6q = 38.76 Divide each side by '-7.6'. q = -5.1 Simplifying q = -5.1
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