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Simplifying 2c + 17 = 3 + 4c + -2 Reorder the terms: 17 + 2c = 3 + 4c + -2 Reorder the terms: 17 + 2c = 3 + -2 + 4c Combine like terms: 3 + -2 = 1 17 + 2c = 1 + 4c Solving 17 + 2c = 1 + 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. 17 + 2c + -4c = 1 + 4c + -4c Combine like terms: 2c + -4c = -2c 17 + -2c = 1 + 4c + -4c Combine like terms: 4c + -4c = 0 17 + -2c = 1 + 0 17 + -2c = 1 Add '-17' to each side of the equation. 17 + -17 + -2c = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2c = 1 + -17 -2c = 1 + -17 Combine like terms: 1 + -17 = -16 -2c = -16 Divide each side by '-2'. c = 8 Simplifying c = 8
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