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Simplifying 3n + -1(8n + 16) = 8 + -1(8n + -4) Reorder the terms: 3n + -1(16 + 8n) = 8 + -1(8n + -4) 3n + (16 * -1 + 8n * -1) = 8 + -1(8n + -4) 3n + (-16 + -8n) = 8 + -1(8n + -4) Reorder the terms: -16 + 3n + -8n = 8 + -1(8n + -4) Combine like terms: 3n + -8n = -5n -16 + -5n = 8 + -1(8n + -4) Reorder the terms: -16 + -5n = 8 + -1(-4 + 8n) -16 + -5n = 8 + (-4 * -1 + 8n * -1) -16 + -5n = 8 + (4 + -8n) Combine like terms: 8 + 4 = 12 -16 + -5n = 12 + -8n Solving -16 + -5n = 12 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -16 + -5n + 8n = 12 + -8n + 8n Combine like terms: -5n + 8n = 3n -16 + 3n = 12 + -8n + 8n Combine like terms: -8n + 8n = 0 -16 + 3n = 12 + 0 -16 + 3n = 12 Add '16' to each side of the equation. -16 + 16 + 3n = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 3n = 12 + 16 3n = 12 + 16 Combine like terms: 12 + 16 = 28 3n = 28 Divide each side by '3'. n = 9.333333333 Simplifying n = 9.333333333
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