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Simplifying 6c + -13 = 3c + 2 Reorder the terms: -13 + 6c = 3c + 2 Reorder the terms: -13 + 6c = 2 + 3c Solving -13 + 6c = 2 + 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. -13 + 6c + -3c = 2 + 3c + -3c Combine like terms: 6c + -3c = 3c -13 + 3c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 -13 + 3c = 2 + 0 -13 + 3c = 2 Add '13' to each side of the equation. -13 + 13 + 3c = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 3c = 2 + 13 3c = 2 + 13 Combine like terms: 2 + 13 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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