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Simplifying 5(c + 5) = 3c + 16 Reorder the terms: 5(5 + c) = 3c + 16 (5 * 5 + c * 5) = 3c + 16 (25 + 5c) = 3c + 16 Reorder the terms: 25 + 5c = 16 + 3c Solving 25 + 5c = 16 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 25 + 5c + -3c = 16 + 3c + -3c Combine like terms: 5c + -3c = 2c 25 + 2c = 16 + 3c + -3c Combine like terms: 3c + -3c = 0 25 + 2c = 16 + 0 25 + 2c = 16 Add '-25' to each side of the equation. 25 + -25 + 2c = 16 + -25 Combine like terms: 25 + -25 = 0 0 + 2c = 16 + -25 2c = 16 + -25 Combine like terms: 16 + -25 = -9 2c = -9 Divide each side by '2'. c = -4.5 Simplifying c = -4.5
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