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Simplifying (c + 30) + -2c + (-1)(1 + -3c) = 2 Reorder the terms: (30 + c) + -2c + (-1)(1 + -3c) = 2 Remove parenthesis around (30 + c) 30 + c + -2c + (-1)(1 + -3c) = 2 30 + c + -2c + (1 * -1 + -3c * -1) = 2 30 + c + -2c + (-1 + 3c) = 2 Reorder the terms: 30 + -1 + c + -2c + 3c = 2 Combine like terms: 30 + -1 = 29 29 + c + -2c + 3c = 2 Combine like terms: c + -2c = -1c 29 + -1c + 3c = 2 Combine like terms: -1c + 3c = 2c 29 + 2c = 2 Solving 29 + 2c = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 2c = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 2c = 2 + -29 2c = 2 + -29 Combine like terms: 2 + -29 = -27 2c = -27 Divide each side by '2'. c = -13.5 Simplifying c = -13.5
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