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Simplifying 5(2c + 1) = 45 Reorder the terms: 5(1 + 2c) = 45 (1 * 5 + 2c * 5) = 45 (5 + 10c) = 45 Solving 5 + 10c = 45 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10c = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10c = 45 + -5 10c = 45 + -5 Combine like terms: 45 + -5 = 40 10c = 40 Divide each side by '10'. c = 4 Simplifying c = 4
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