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Simplifying 5c + -13 = 2c + 11 Reorder the terms: -13 + 5c = 2c + 11 Reorder the terms: -13 + 5c = 11 + 2c Solving -13 + 5c = 11 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -13 + 5c + -2c = 11 + 2c + -2c Combine like terms: 5c + -2c = 3c -13 + 3c = 11 + 2c + -2c Combine like terms: 2c + -2c = 0 -13 + 3c = 11 + 0 -13 + 3c = 11 Add '13' to each side of the equation. -13 + 13 + 3c = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 3c = 11 + 13 3c = 11 + 13 Combine like terms: 11 + 13 = 24 3c = 24 Divide each side by '3'. c = 8 Simplifying c = 8
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