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Simplifying 6c + 1 = 3c + 10 Reorder the terms: 1 + 6c = 3c + 10 Reorder the terms: 1 + 6c = 10 + 3c Solving 1 + 6c = 10 + 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 + 6c + -3c = 10 + 3c + -3c Combine like terms: 6c + -3c = 3c 1 + 3c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 1 + 3c = 10 + 0 1 + 3c = 10 Add '-1' to each side of the equation. 1 + -1 + 3c = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 10 + -1 3c = 10 + -1 Combine like terms: 10 + -1 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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