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Simplifying 38 + -1(2c + 4) = 2(c + 7) + c Reorder the terms: 38 + -1(4 + 2c) = 2(c + 7) + c 38 + (4 * -1 + 2c * -1) = 2(c + 7) + c 38 + (-4 + -2c) = 2(c + 7) + c Combine like terms: 38 + -4 = 34 34 + -2c = 2(c + 7) + c Reorder the terms: 34 + -2c = 2(7 + c) + c 34 + -2c = (7 * 2 + c * 2) + c 34 + -2c = (14 + 2c) + c Combine like terms: 2c + c = 3c 34 + -2c = 14 + 3c Solving 34 + -2c = 14 + 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. 34 + -2c + -3c = 14 + 3c + -3c Combine like terms: -2c + -3c = -5c 34 + -5c = 14 + 3c + -3c Combine like terms: 3c + -3c = 0 34 + -5c = 14 + 0 34 + -5c = 14 Add '-34' to each side of the equation. 34 + -34 + -5c = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -5c = 14 + -34 -5c = 14 + -34 Combine like terms: 14 + -34 = -20 -5c = -20 Divide each side by '-5'. c = 4 Simplifying c = 4
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