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Simplifying 8(n + -5) + -1(-2n + -6) = 9n Reorder the terms: 8(-5 + n) + -1(-2n + -6) = 9n (-5 * 8 + n * 8) + -1(-2n + -6) = 9n (-40 + 8n) + -1(-2n + -6) = 9n Reorder the terms: -40 + 8n + -1(-6 + -2n) = 9n -40 + 8n + (-6 * -1 + -2n * -1) = 9n -40 + 8n + (6 + 2n) = 9n Reorder the terms: -40 + 6 + 8n + 2n = 9n Combine like terms: -40 + 6 = -34 -34 + 8n + 2n = 9n Combine like terms: 8n + 2n = 10n -34 + 10n = 9n Solving -34 + 10n = 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. -34 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -34 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -34 + 1n = 0 Add '34' to each side of the equation. -34 + 34 + 1n = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1n = 0 + 34 1n = 0 + 34 Combine like terms: 0 + 34 = 34 1n = 34 Divide each side by '1'. n = 34 Simplifying n = 34
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