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Simplifying -3c + 5 + 5c = -2c + 13 Reorder the terms: 5 + -3c + 5c = -2c + 13 Combine like terms: -3c + 5c = 2c 5 + 2c = -2c + 13 Reorder the terms: 5 + 2c = 13 + -2c Solving 5 + 2c = 13 + -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. 5 + 2c + 2c = 13 + -2c + 2c Combine like terms: 2c + 2c = 4c 5 + 4c = 13 + -2c + 2c Combine like terms: -2c + 2c = 0 5 + 4c = 13 + 0 5 + 4c = 13 Add '-5' to each side of the equation. 5 + -5 + 4c = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 13 + -5 4c = 13 + -5 Combine like terms: 13 + -5 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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