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Simplifying 2(c + 4) + -5 = 4c + -17 Reorder the terms: 2(4 + c) + -5 = 4c + -17 (4 * 2 + c * 2) + -5 = 4c + -17 (8 + 2c) + -5 = 4c + -17 Reorder the terms: 8 + -5 + 2c = 4c + -17 Combine like terms: 8 + -5 = 3 3 + 2c = 4c + -17 Reorder the terms: 3 + 2c = -17 + 4c Solving 3 + 2c = -17 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 3 + 2c + -4c = -17 + 4c + -4c Combine like terms: 2c + -4c = -2c 3 + -2c = -17 + 4c + -4c Combine like terms: 4c + -4c = 0 3 + -2c = -17 + 0 3 + -2c = -17 Add '-3' to each side of the equation. 3 + -3 + -2c = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -2c = -17 + -3 -2c = -17 + -3 Combine like terms: -17 + -3 = -20 -2c = -20 Divide each side by '-2'. c = 10 Simplifying c = 10
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