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Simplifying 5c + 12 = 6c + 1 Reorder the terms: 12 + 5c = 6c + 1 Reorder the terms: 12 + 5c = 1 + 6c Solving 12 + 5c = 1 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 12 + 5c + -6c = 1 + 6c + -6c Combine like terms: 5c + -6c = -1c 12 + -1c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 12 + -1c = 1 + 0 12 + -1c = 1 Add '-12' to each side of the equation. 12 + -12 + -1c = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 1 + -12 -1c = 1 + -12 Combine like terms: 1 + -12 = -11 -1c = -11 Divide each side by '-1'. c = 11 Simplifying c = 11
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