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Simplifying -86 = 5(1 + -1n) + -8n -86 = (1 * 5 + -1n * 5) + -8n -86 = (5 + -5n) + -8n Combine like terms: -5n + -8n = -13n -86 = 5 + -13n Solving -86 = 5 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -86 + 13n = 5 + -13n + 13n Combine like terms: -13n + 13n = 0 -86 + 13n = 5 + 0 -86 + 13n = 5 Add '86' to each side of the equation. -86 + 86 + 13n = 5 + 86 Combine like terms: -86 + 86 = 0 0 + 13n = 5 + 86 13n = 5 + 86 Combine like terms: 5 + 86 = 91 13n = 91 Divide each side by '13'. n = 7 Simplifying n = 7
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