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Simplifying 3c + (c + 2) = 13(2c + -5) Reorder the terms: 3c + (2 + c) = 13(2c + -5) Remove parenthesis around (2 + c) 3c + 2 + c = 13(2c + -5) Reorder the terms: 2 + 3c + c = 13(2c + -5) Combine like terms: 3c + c = 4c 2 + 4c = 13(2c + -5) Reorder the terms: 2 + 4c = 13(-5 + 2c) 2 + 4c = (-5 * 13 + 2c * 13) 2 + 4c = (-65 + 26c) Solving 2 + 4c = -65 + 26c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26c' to each side of the equation. 2 + 4c + -26c = -65 + 26c + -26c Combine like terms: 4c + -26c = -22c 2 + -22c = -65 + 26c + -26c Combine like terms: 26c + -26c = 0 2 + -22c = -65 + 0 2 + -22c = -65 Add '-2' to each side of the equation. 2 + -2 + -22c = -65 + -2 Combine like terms: 2 + -2 = 0 0 + -22c = -65 + -2 -22c = -65 + -2 Combine like terms: -65 + -2 = -67 -22c = -67 Divide each side by '-22'. c = 3.045454545 Simplifying c = 3.045454545
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