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Simplifying 2c + 13 = 5c + -2 + -4c Reorder the terms: 13 + 2c = 5c + -2 + -4c Reorder the terms: 13 + 2c = -2 + 5c + -4c Combine like terms: 5c + -4c = 1c 13 + 2c = -2 + 1c Solving 13 + 2c = -2 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 13 + 2c + -1c = -2 + 1c + -1c Combine like terms: 2c + -1c = 1c 13 + 1c = -2 + 1c + -1c Combine like terms: 1c + -1c = 0 13 + 1c = -2 + 0 13 + 1c = -2 Add '-13' to each side of the equation. 13 + -13 + 1c = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 1c = -2 + -13 1c = -2 + -13 Combine like terms: -2 + -13 = -15 1c = -15 Divide each side by '1'. c = -15 Simplifying c = -15
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