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Simplifying 8n + (n + -5) + -9n = 2n + -15 Reorder the terms: 8n + (-5 + n) + -9n = 2n + -15 Remove parenthesis around (-5 + n) 8n + -5 + n + -9n = 2n + -15 Reorder the terms: -5 + 8n + n + -9n = 2n + -15 Combine like terms: 8n + n = 9n -5 + 9n + -9n = 2n + -15 Combine like terms: 9n + -9n = 0 -5 + 0 = 2n + -15 -5 = 2n + -15 Reorder the terms: -5 = -15 + 2n Solving -5 = -15 + 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. -5 + -2n = -15 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + -2n = -15 + 0 -5 + -2n = -15 Add '5' to each side of the equation. -5 + 5 + -2n = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2n = -15 + 5 -2n = -15 + 5 Combine like terms: -15 + 5 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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