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Simplifying -120 = 7(-3n + -6) + 8n Reorder the terms: -120 = 7(-6 + -3n) + 8n -120 = (-6 * 7 + -3n * 7) + 8n -120 = (-42 + -21n) + 8n Combine like terms: -21n + 8n = -13n -120 = -42 + -13n Solving -120 = -42 + -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. -120 + 13n = -42 + -13n + 13n Combine like terms: -13n + 13n = 0 -120 + 13n = -42 + 0 -120 + 13n = -42 Add '120' to each side of the equation. -120 + 120 + 13n = -42 + 120 Combine like terms: -120 + 120 = 0 0 + 13n = -42 + 120 13n = -42 + 120 Combine like terms: -42 + 120 = 78 13n = 78 Divide each side by '13'. n = 6 Simplifying n = 6
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