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Simplifying (41.5 + c) = (10c + 1) Remove parenthesis around (41.5 + c) 41.5 + c = (10c + 1) Reorder the terms: 41.5 + c = (1 + 10c) Remove parenthesis around (1 + 10c) 41.5 + c = 1 + 10c Solving 41.5 + c = 1 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 41.5 + c + -10c = 1 + 10c + -10c Combine like terms: c + -10c = -9c 41.5 + -9c = 1 + 10c + -10c Combine like terms: 10c + -10c = 0 41.5 + -9c = 1 + 0 41.5 + -9c = 1 Add '-41.5' to each side of the equation. 41.5 + -41.5 + -9c = 1 + -41.5 Combine like terms: 41.5 + -41.5 = 0.0 0.0 + -9c = 1 + -41.5 -9c = 1 + -41.5 Combine like terms: 1 + -41.5 = -40.5 -9c = -40.5 Divide each side by '-9'. c = 4.5 Simplifying c = 4.5
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