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Simplifying -5(n + -6) = -4n + -1(9n + -6) Reorder the terms: -5(-6 + n) = -4n + -1(9n + -6) (-6 * -5 + n * -5) = -4n + -1(9n + -6) (30 + -5n) = -4n + -1(9n + -6) Reorder the terms: 30 + -5n = -4n + -1(-6 + 9n) 30 + -5n = -4n + (-6 * -1 + 9n * -1) 30 + -5n = -4n + (6 + -9n) Reorder the terms: 30 + -5n = 6 + -4n + -9n Combine like terms: -4n + -9n = -13n 30 + -5n = 6 + -13n Solving 30 + -5n = 6 + -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. 30 + -5n + 13n = 6 + -13n + 13n Combine like terms: -5n + 13n = 8n 30 + 8n = 6 + -13n + 13n Combine like terms: -13n + 13n = 0 30 + 8n = 6 + 0 30 + 8n = 6 Add '-30' to each side of the equation. 30 + -30 + 8n = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 8n = 6 + -30 8n = 6 + -30 Combine like terms: 6 + -30 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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