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Simplifying 5n + 2(n + 3) = -39 + -2n Reorder the terms: 5n + 2(3 + n) = -39 + -2n 5n + (3 * 2 + n * 2) = -39 + -2n 5n + (6 + 2n) = -39 + -2n Reorder the terms: 6 + 5n + 2n = -39 + -2n Combine like terms: 5n + 2n = 7n 6 + 7n = -39 + -2n Solving 6 + 7n = -39 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 6 + 7n + 2n = -39 + -2n + 2n Combine like terms: 7n + 2n = 9n 6 + 9n = -39 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + 9n = -39 + 0 6 + 9n = -39 Add '-6' to each side of the equation. 6 + -6 + 9n = -39 + -6 Combine like terms: 6 + -6 = 0 0 + 9n = -39 + -6 9n = -39 + -6 Combine like terms: -39 + -6 = -45 9n = -45 Divide each side by '9'. n = -5 Simplifying n = -5
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