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Simplifying 13c + -6 = 9c + 6 Reorder the terms: -6 + 13c = 9c + 6 Reorder the terms: -6 + 13c = 6 + 9c Solving -6 + 13c = 6 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -6 + 13c + -9c = 6 + 9c + -9c Combine like terms: 13c + -9c = 4c -6 + 4c = 6 + 9c + -9c Combine like terms: 9c + -9c = 0 -6 + 4c = 6 + 0 -6 + 4c = 6 Add '6' to each side of the equation. -6 + 6 + 4c = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4c = 6 + 6 4c = 6 + 6 Combine like terms: 6 + 6 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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