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Simplifying 4c + -3 = 0.5(18c + 24) Reorder the terms: -3 + 4c = 0.5(18c + 24) Reorder the terms: -3 + 4c = 0.5(24 + 18c) -3 + 4c = (24 * 0.5 + 18c * 0.5) -3 + 4c = (12 + 9c) Solving -3 + 4c = 12 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -3 + 4c + -9c = 12 + 9c + -9c Combine like terms: 4c + -9c = -5c -3 + -5c = 12 + 9c + -9c Combine like terms: 9c + -9c = 0 -3 + -5c = 12 + 0 -3 + -5c = 12 Add '3' to each side of the equation. -3 + 3 + -5c = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5c = 12 + 3 -5c = 12 + 3 Combine like terms: 12 + 3 = 15 -5c = 15 Divide each side by '-5'. c = -3 Simplifying c = -3
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