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Simplifying 3c + 5 = 5(c + 2) Reorder the terms: 5 + 3c = 5(c + 2) Reorder the terms: 5 + 3c = 5(2 + c) 5 + 3c = (2 * 5 + c * 5) 5 + 3c = (10 + 5c) Solving 5 + 3c = 10 + 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. 5 + 3c + -5c = 10 + 5c + -5c Combine like terms: 3c + -5c = -2c 5 + -2c = 10 + 5c + -5c Combine like terms: 5c + -5c = 0 5 + -2c = 10 + 0 5 + -2c = 10 Add '-5' to each side of the equation. 5 + -5 + -2c = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -2c = 10 + -5 -2c = 10 + -5 Combine like terms: 10 + -5 = 5 -2c = 5 Divide each side by '-2'. c = -2.5 Simplifying c = -2.5
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