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Simplifying 4n + -1(n + -5) = 8n + -6(5 + 2n) Reorder the terms: 4n + -1(-5 + n) = 8n + -6(5 + 2n) 4n + (-5 * -1 + n * -1) = 8n + -6(5 + 2n) 4n + (5 + -1n) = 8n + -6(5 + 2n) Reorder the terms: 5 + 4n + -1n = 8n + -6(5 + 2n) Combine like terms: 4n + -1n = 3n 5 + 3n = 8n + -6(5 + 2n) 5 + 3n = 8n + (5 * -6 + 2n * -6) 5 + 3n = 8n + (-30 + -12n) Reorder the terms: 5 + 3n = -30 + 8n + -12n Combine like terms: 8n + -12n = -4n 5 + 3n = -30 + -4n Solving 5 + 3n = -30 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 5 + 3n + 4n = -30 + -4n + 4n Combine like terms: 3n + 4n = 7n 5 + 7n = -30 + -4n + 4n Combine like terms: -4n + 4n = 0 5 + 7n = -30 + 0 5 + 7n = -30 Add '-5' to each side of the equation. 5 + -5 + 7n = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = -30 + -5 7n = -30 + -5 Combine like terms: -30 + -5 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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