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Simplifying 3c + 2(c + 2) = 13 + -2c + -5 Reorder the terms: 3c + 2(2 + c) = 13 + -2c + -5 3c + (2 * 2 + c * 2) = 13 + -2c + -5 3c + (4 + 2c) = 13 + -2c + -5 Reorder the terms: 4 + 3c + 2c = 13 + -2c + -5 Combine like terms: 3c + 2c = 5c 4 + 5c = 13 + -2c + -5 Reorder the terms: 4 + 5c = 13 + -5 + -2c Combine like terms: 13 + -5 = 8 4 + 5c = 8 + -2c Solving 4 + 5c = 8 + -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. 4 + 5c + 2c = 8 + -2c + 2c Combine like terms: 5c + 2c = 7c 4 + 7c = 8 + -2c + 2c Combine like terms: -2c + 2c = 0 4 + 7c = 8 + 0 4 + 7c = 8 Add '-4' to each side of the equation. 4 + -4 + 7c = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 7c = 8 + -4 7c = 8 + -4 Combine like terms: 8 + -4 = 4 7c = 4 Divide each side by '7'. c = 0.5714285714 Simplifying c = 0.5714285714
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