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Simplifying 9(n + -4) + 2n = 2(n + -1) + 7n Reorder the terms: 9(-4 + n) + 2n = 2(n + -1) + 7n (-4 * 9 + n * 9) + 2n = 2(n + -1) + 7n (-36 + 9n) + 2n = 2(n + -1) + 7n Combine like terms: 9n + 2n = 11n -36 + 11n = 2(n + -1) + 7n Reorder the terms: -36 + 11n = 2(-1 + n) + 7n -36 + 11n = (-1 * 2 + n * 2) + 7n -36 + 11n = (-2 + 2n) + 7n Combine like terms: 2n + 7n = 9n -36 + 11n = -2 + 9n Solving -36 + 11n = -2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -36 + 11n + -9n = -2 + 9n + -9n Combine like terms: 11n + -9n = 2n -36 + 2n = -2 + 9n + -9n Combine like terms: 9n + -9n = 0 -36 + 2n = -2 + 0 -36 + 2n = -2 Add '36' to each side of the equation. -36 + 36 + 2n = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 2n = -2 + 36 2n = -2 + 36 Combine like terms: -2 + 36 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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