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Simplifying 3c + 14 = 4c + -17 Reorder the terms: 14 + 3c = 4c + -17 Reorder the terms: 14 + 3c = -17 + 4c Solving 14 + 3c = -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. 14 + 3c + -4c = -17 + 4c + -4c Combine like terms: 3c + -4c = -1c 14 + -1c = -17 + 4c + -4c Combine like terms: 4c + -4c = 0 14 + -1c = -17 + 0 14 + -1c = -17 Add '-14' to each side of the equation. 14 + -14 + -1c = -17 + -14 Combine like terms: 14 + -14 = 0 0 + -1c = -17 + -14 -1c = -17 + -14 Combine like terms: -17 + -14 = -31 -1c = -31 Divide each side by '-1'. c = 31 Simplifying c = 31
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