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Simplifying 38 + -1(3c + 4) = 2(c + 5) + c Reorder the terms: 38 + -1(4 + 3c) = 2(c + 5) + c 38 + (4 * -1 + 3c * -1) = 2(c + 5) + c 38 + (-4 + -3c) = 2(c + 5) + c Combine like terms: 38 + -4 = 34 34 + -3c = 2(c + 5) + c Reorder the terms: 34 + -3c = 2(5 + c) + c 34 + -3c = (5 * 2 + c * 2) + c 34 + -3c = (10 + 2c) + c Combine like terms: 2c + c = 3c 34 + -3c = 10 + 3c Solving 34 + -3c = 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. 34 + -3c + -3c = 10 + 3c + -3c Combine like terms: -3c + -3c = -6c 34 + -6c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 34 + -6c = 10 + 0 34 + -6c = 10 Add '-34' to each side of the equation. 34 + -34 + -6c = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -6c = 10 + -34 -6c = 10 + -34 Combine like terms: 10 + -34 = -24 -6c = -24 Divide each side by '-6'. c = 4 Simplifying c = 4
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