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Simplifying 6c + 7 = 5c + 13 Reorder the terms: 7 + 6c = 5c + 13 Reorder the terms: 7 + 6c = 13 + 5c Solving 7 + 6c = 13 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 7 + 6c + -5c = 13 + 5c + -5c Combine like terms: 6c + -5c = 1c 7 + 1c = 13 + 5c + -5c Combine like terms: 5c + -5c = 0 7 + 1c = 13 + 0 7 + 1c = 13 Add '-7' to each side of the equation. 7 + -7 + 1c = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 1c = 13 + -7 1c = 13 + -7 Combine like terms: 13 + -7 = 6 1c = 6 Divide each side by '1'. c = 6 Simplifying c = 6
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