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Simplifying c + 2(1 + -1c) = 10 + -3c c + (1 * 2 + -1c * 2) = 10 + -3c c + (2 + -2c) = 10 + -3c Reorder the terms: 2 + c + -2c = 10 + -3c Combine like terms: c + -2c = -1c 2 + -1c = 10 + -3c Solving 2 + -1c = 10 + -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. 2 + -1c + 3c = 10 + -3c + 3c Combine like terms: -1c + 3c = 2c 2 + 2c = 10 + -3c + 3c Combine like terms: -3c + 3c = 0 2 + 2c = 10 + 0 2 + 2c = 10 Add '-2' to each side of the equation. 2 + -2 + 2c = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 10 + -2 2c = 10 + -2 Combine like terms: 10 + -2 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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