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Simplifying -2c + 7 + 5c = -3c + 13 Reorder the terms: 7 + -2c + 5c = -3c + 13 Combine like terms: -2c + 5c = 3c 7 + 3c = -3c + 13 Reorder the terms: 7 + 3c = 13 + -3c Solving 7 + 3c = 13 + -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. 7 + 3c + 3c = 13 + -3c + 3c Combine like terms: 3c + 3c = 6c 7 + 6c = 13 + -3c + 3c Combine like terms: -3c + 3c = 0 7 + 6c = 13 + 0 7 + 6c = 13 Add '-7' to each side of the equation. 7 + -7 + 6c = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6c = 13 + -7 6c = 13 + -7 Combine like terms: 13 + -7 = 6 6c = 6 Divide each side by '6'. c = 1 Simplifying c = 1
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