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Simplifying 18.11 = 2.59c + 1.72(8 + -1c) 18.11 = 2.59c + (8 * 1.72 + -1c * 1.72) 18.11 = 2.59c + (13.76 + -1.72c) Reorder the terms: 18.11 = 13.76 + 2.59c + -1.72c Combine like terms: 2.59c + -1.72c = 0.87c 18.11 = 13.76 + 0.87c Solving 18.11 = 13.76 + 0.87c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.87c' to each side of the equation. 18.11 + -0.87c = 13.76 + 0.87c + -0.87c Combine like terms: 0.87c + -0.87c = 0.00 18.11 + -0.87c = 13.76 + 0.00 18.11 + -0.87c = 13.76 Add '-18.11' to each side of the equation. 18.11 + -18.11 + -0.87c = 13.76 + -18.11 Combine like terms: 18.11 + -18.11 = 0.00 0.00 + -0.87c = 13.76 + -18.11 -0.87c = 13.76 + -18.11 Combine like terms: 13.76 + -18.11 = -4.35 -0.87c = -4.35 Divide each side by '-0.87'. c = 5 Simplifying c = 5
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