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Simplifying 4c + 1 = 3c + 7 Reorder the terms: 1 + 4c = 3c + 7 Reorder the terms: 1 + 4c = 7 + 3c Solving 1 + 4c = 7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 1 + 4c + -3c = 7 + 3c + -3c Combine like terms: 4c + -3c = 1c 1 + 1c = 7 + 3c + -3c Combine like terms: 3c + -3c = 0 1 + 1c = 7 + 0 1 + 1c = 7 Add '-1' to each side of the equation. 1 + -1 + 1c = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1c = 7 + -1 1c = 7 + -1 Combine like terms: 7 + -1 = 6 1c = 6 Divide each side by '1'. c = 6 Simplifying c = 6
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