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Simplifying 5(c + 3) = 2(2c + 11) Reorder the terms: 5(3 + c) = 2(2c + 11) (3 * 5 + c * 5) = 2(2c + 11) (15 + 5c) = 2(2c + 11) Reorder the terms: 15 + 5c = 2(11 + 2c) 15 + 5c = (11 * 2 + 2c * 2) 15 + 5c = (22 + 4c) Solving 15 + 5c = 22 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 15 + 5c + -4c = 22 + 4c + -4c Combine like terms: 5c + -4c = 1c 15 + 1c = 22 + 4c + -4c Combine like terms: 4c + -4c = 0 15 + 1c = 22 + 0 15 + 1c = 22 Add '-15' to each side of the equation. 15 + -15 + 1c = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 22 + -15 1c = 22 + -15 Combine like terms: 22 + -15 = 7 1c = 7 Divide each side by '1'. c = 7 Simplifying c = 7
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