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Simplifying 3(c + 5) = 5(11 + -1c) Reorder the terms: 3(5 + c) = 5(11 + -1c) (5 * 3 + c * 3) = 5(11 + -1c) (15 + 3c) = 5(11 + -1c) 15 + 3c = (11 * 5 + -1c * 5) 15 + 3c = (55 + -5c) Solving 15 + 3c = 55 + -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. 15 + 3c + 5c = 55 + -5c + 5c Combine like terms: 3c + 5c = 8c 15 + 8c = 55 + -5c + 5c Combine like terms: -5c + 5c = 0 15 + 8c = 55 + 0 15 + 8c = 55 Add '-15' to each side of the equation. 15 + -15 + 8c = 55 + -15 Combine like terms: 15 + -15 = 0 0 + 8c = 55 + -15 8c = 55 + -15 Combine like terms: 55 + -15 = 40 8c = 40 Divide each side by '8'. c = 5 Simplifying c = 5
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