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Simplifying 5(2 + c) = 45 + -5c (2 * 5 + c * 5) = 45 + -5c (10 + 5c) = 45 + -5c Solving 10 + 5c = 45 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 10 + 5c + 5c = 45 + -5c + 5c Combine like terms: 5c + 5c = 10c 10 + 10c = 45 + -5c + 5c Combine like terms: -5c + 5c = 0 10 + 10c = 45 + 0 10 + 10c = 45 Add '-10' to each side of the equation. 10 + -10 + 10c = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 10c = 45 + -10 10c = 45 + -10 Combine like terms: 45 + -10 = 35 10c = 35 Divide each side by '10'. c = 3.5 Simplifying c = 3.5
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