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Simplifying 35 + -1(2c + 4) = 2c + 6 + c Reorder the terms: 35 + -1(4 + 2c) = 2c + 6 + c 35 + (4 * -1 + 2c * -1) = 2c + 6 + c 35 + (-4 + -2c) = 2c + 6 + c Combine like terms: 35 + -4 = 31 31 + -2c = 2c + 6 + c Reorder the terms: 31 + -2c = 6 + 2c + c Combine like terms: 2c + c = 3c 31 + -2c = 6 + 3c Solving 31 + -2c = 6 + 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. 31 + -2c + -3c = 6 + 3c + -3c Combine like terms: -2c + -3c = -5c 31 + -5c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 31 + -5c = 6 + 0 31 + -5c = 6 Add '-31' to each side of the equation. 31 + -31 + -5c = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -5c = 6 + -31 -5c = 6 + -31 Combine like terms: 6 + -31 = -25 -5c = -25 Divide each side by '-5'. c = 5 Simplifying c = 5
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