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Simplifying 7(c + 7) = 5(c) + 59 Reorder the terms: 7(7 + c) = 5(c) + 59 (7 * 7 + c * 7) = 5(c) + 59 (49 + 7c) = 5(c) + 59 Reorder the terms: 49 + 7c = 59 + 5c Solving 49 + 7c = 59 + 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. 49 + 7c + -5c = 59 + 5c + -5c Combine like terms: 7c + -5c = 2c 49 + 2c = 59 + 5c + -5c Combine like terms: 5c + -5c = 0 49 + 2c = 59 + 0 49 + 2c = 59 Add '-49' to each side of the equation. 49 + -49 + 2c = 59 + -49 Combine like terms: 49 + -49 = 0 0 + 2c = 59 + -49 2c = 59 + -49 Combine like terms: 59 + -49 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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