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Simplifying 5c + 1 = 2(c + 11) Reorder the terms: 1 + 5c = 2(c + 11) Reorder the terms: 1 + 5c = 2(11 + c) 1 + 5c = (11 * 2 + c * 2) 1 + 5c = (22 + 2c) Solving 1 + 5c = 22 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 1 + 5c + -2c = 22 + 2c + -2c Combine like terms: 5c + -2c = 3c 1 + 3c = 22 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 3c = 22 + 0 1 + 3c = 22 Add '-1' to each side of the equation. 1 + -1 + 3c = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 22 + -1 3c = 22 + -1 Combine like terms: 22 + -1 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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