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Simplifying c + 42 = -2c + -27 Reorder the terms: 42 + c = -2c + -27 Reorder the terms: 42 + c = -27 + -2c Solving 42 + c = -27 + -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. 42 + c + 2c = -27 + -2c + 2c Combine like terms: c + 2c = 3c 42 + 3c = -27 + -2c + 2c Combine like terms: -2c + 2c = 0 42 + 3c = -27 + 0 42 + 3c = -27 Add '-42' to each side of the equation. 42 + -42 + 3c = -27 + -42 Combine like terms: 42 + -42 = 0 0 + 3c = -27 + -42 3c = -27 + -42 Combine like terms: -27 + -42 = -69 3c = -69 Divide each side by '3'. c = -23 Simplifying c = -23
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