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Simplifying 9(n + 2) = -6(n + 7) Reorder the terms: 9(2 + n) = -6(n + 7) (2 * 9 + n * 9) = -6(n + 7) (18 + 9n) = -6(n + 7) Reorder the terms: 18 + 9n = -6(7 + n) 18 + 9n = (7 * -6 + n * -6) 18 + 9n = (-42 + -6n) Solving 18 + 9n = -42 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 18 + 9n + 6n = -42 + -6n + 6n Combine like terms: 9n + 6n = 15n 18 + 15n = -42 + -6n + 6n Combine like terms: -6n + 6n = 0 18 + 15n = -42 + 0 18 + 15n = -42 Add '-18' to each side of the equation. 18 + -18 + 15n = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 15n = -42 + -18 15n = -42 + -18 Combine like terms: -42 + -18 = -60 15n = -60 Divide each side by '15'. n = -4 Simplifying n = -4
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