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