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Simplifying c + 13 = 6c + 8 Reorder the terms: 13 + c = 6c + 8 Reorder the terms: 13 + c = 8 + 6c Solving 13 + c = 8 + 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. 13 + c + -6c = 8 + 6c + -6c Combine like terms: c + -6c = -5c 13 + -5c = 8 + 6c + -6c Combine like terms: 6c + -6c = 0 13 + -5c = 8 + 0 13 + -5c = 8 Add '-13' to each side of the equation. 13 + -13 + -5c = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5c = 8 + -13 -5c = 8 + -13 Combine like terms: 8 + -13 = -5 -5c = -5 Divide each side by '-5'. c = 1 Simplifying c = 1
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