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Simplifying 3c + 17 = 4c + 7 Reorder the terms: 17 + 3c = 4c + 7 Reorder the terms: 17 + 3c = 7 + 4c Solving 17 + 3c = 7 + 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 + 3c + -4c = 7 + 4c + -4c Combine like terms: 3c + -4c = -1c 17 + -1c = 7 + 4c + -4c Combine like terms: 4c + -4c = 0 17 + -1c = 7 + 0 17 + -1c = 7 Add '-17' to each side of the equation. 17 + -17 + -1c = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -1c = 7 + -17 -1c = 7 + -17 Combine like terms: 7 + -17 = -10 -1c = -10 Divide each side by '-1'. c = 10 Simplifying c = 10
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