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Simplifying 9(n + 7) + 6 = 2(-1n + 3) Reorder the terms: 9(7 + n) + 6 = 2(-1n + 3) (7 * 9 + n * 9) + 6 = 2(-1n + 3) (63 + 9n) + 6 = 2(-1n + 3) Reorder the terms: 63 + 6 + 9n = 2(-1n + 3) Combine like terms: 63 + 6 = 69 69 + 9n = 2(-1n + 3) Reorder the terms: 69 + 9n = 2(3 + -1n) 69 + 9n = (3 * 2 + -1n * 2) 69 + 9n = (6 + -2n) Solving 69 + 9n = 6 + -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. 69 + 9n + 2n = 6 + -2n + 2n Combine like terms: 9n + 2n = 11n 69 + 11n = 6 + -2n + 2n Combine like terms: -2n + 2n = 0 69 + 11n = 6 + 0 69 + 11n = 6 Add '-69' to each side of the equation. 69 + -69 + 11n = 6 + -69 Combine like terms: 69 + -69 = 0 0 + 11n = 6 + -69 11n = 6 + -69 Combine like terms: 6 + -69 = -63 11n = -63 Divide each side by '11'. n = -5.727272727 Simplifying n = -5.727272727
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