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Simplifying -106 = -8n + 5(-3 + -1n) -106 = -8n + (-3 * 5 + -1n * 5) -106 = -8n + (-15 + -5n) Reorder the terms: -106 = -15 + -8n + -5n Combine like terms: -8n + -5n = -13n -106 = -15 + -13n Solving -106 = -15 + -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. -106 + 13n = -15 + -13n + 13n Combine like terms: -13n + 13n = 0 -106 + 13n = -15 + 0 -106 + 13n = -15 Add '106' to each side of the equation. -106 + 106 + 13n = -15 + 106 Combine like terms: -106 + 106 = 0 0 + 13n = -15 + 106 13n = -15 + 106 Combine like terms: -15 + 106 = 91 13n = 91 Divide each side by '13'. n = 7 Simplifying n = 7
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