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Simplifying 0.45(24) + 0.05 = 0.15(18 + c) Multiply 0.45 * 24 10.8 + 0.05 = 0.15(18 + c) Combine like terms: 10.8 + 0.05 = 10.85 10.85 = 0.15(18 + c) 10.85 = (18 * 0.15 + c * 0.15) 10.85 = (2.7 + 0.15c) Solving 10.85 = 2.7 + 0.15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.15c' to each side of the equation. 10.85 + -0.15c = 2.7 + 0.15c + -0.15c Combine like terms: 0.15c + -0.15c = 0.00 10.85 + -0.15c = 2.7 + 0.00 10.85 + -0.15c = 2.7 Add '-10.85' to each side of the equation. 10.85 + -10.85 + -0.15c = 2.7 + -10.85 Combine like terms: 10.85 + -10.85 = 0.00 0.00 + -0.15c = 2.7 + -10.85 -0.15c = 2.7 + -10.85 Combine like terms: 2.7 + -10.85 = -8.15 -0.15c = -8.15 Divide each side by '-0.15'. c = 54.33333333 Simplifying c = 54.33333333
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