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Simplifying 2c + -1(c + -8) = 46 + -1c Reorder the terms: 2c + -1(-8 + c) = 46 + -1c 2c + (-8 * -1 + c * -1) = 46 + -1c 2c + (8 + -1c) = 46 + -1c Reorder the terms: 8 + 2c + -1c = 46 + -1c Combine like terms: 2c + -1c = 1c 8 + 1c = 46 + -1c Solving 8 + 1c = 46 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 8 + 1c + c = 46 + -1c + c Combine like terms: 1c + c = 2c 8 + 2c = 46 + -1c + c Combine like terms: -1c + c = 0 8 + 2c = 46 + 0 8 + 2c = 46 Add '-8' to each side of the equation. 8 + -8 + 2c = 46 + -8 Combine like terms: 8 + -8 = 0 0 + 2c = 46 + -8 2c = 46 + -8 Combine like terms: 46 + -8 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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