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Simplifying 9(n + -6) + 2(n + -3) = 0 Reorder the terms: 9(-6 + n) + 2(n + -3) = 0 (-6 * 9 + n * 9) + 2(n + -3) = 0 (-54 + 9n) + 2(n + -3) = 0 Reorder the terms: -54 + 9n + 2(-3 + n) = 0 -54 + 9n + (-3 * 2 + n * 2) = 0 -54 + 9n + (-6 + 2n) = 0 Reorder the terms: -54 + -6 + 9n + 2n = 0 Combine like terms: -54 + -6 = -60 -60 + 9n + 2n = 0 Combine like terms: 9n + 2n = 11n -60 + 11n = 0 Solving -60 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 11n = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 11n = 0 + 60 11n = 0 + 60 Combine like terms: 0 + 60 = 60 11n = 60 Divide each side by '11'. n = 5.454545455 Simplifying n = 5.454545455
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