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Simplifying 5n + 2(n + 3) = -4n + 38 Reorder the terms: 5n + 2(3 + n) = -4n + 38 5n + (3 * 2 + n * 2) = -4n + 38 5n + (6 + 2n) = -4n + 38 Reorder the terms: 6 + 5n + 2n = -4n + 38 Combine like terms: 5n + 2n = 7n 6 + 7n = -4n + 38 Reorder the terms: 6 + 7n = 38 + -4n Solving 6 + 7n = 38 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 6 + 7n + 4n = 38 + -4n + 4n Combine like terms: 7n + 4n = 11n 6 + 11n = 38 + -4n + 4n Combine like terms: -4n + 4n = 0 6 + 11n = 38 + 0 6 + 11n = 38 Add '-6' to each side of the equation. 6 + -6 + 11n = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 11n = 38 + -6 11n = 38 + -6 Combine like terms: 38 + -6 = 32 11n = 32 Divide each side by '11'. n = 2.909090909 Simplifying n = 2.909090909
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