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Simplifying 6c + 1 = 4c + 9 Reorder the terms: 1 + 6c = 4c + 9 Reorder the terms: 1 + 6c = 9 + 4c Solving 1 + 6c = 9 + 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. 1 + 6c + -4c = 9 + 4c + -4c Combine like terms: 6c + -4c = 2c 1 + 2c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 1 + 2c = 9 + 0 1 + 2c = 9 Add '-1' to each side of the equation. 1 + -1 + 2c = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 9 + -1 2c = 9 + -1 Combine like terms: 9 + -1 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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