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Simplifying 3n + -16 = 5(8 + -1n) Reorder the terms: -16 + 3n = 5(8 + -1n) -16 + 3n = (8 * 5 + -1n * 5) -16 + 3n = (40 + -5n) Solving -16 + 3n = 40 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -16 + 3n + 5n = 40 + -5n + 5n Combine like terms: 3n + 5n = 8n -16 + 8n = 40 + -5n + 5n Combine like terms: -5n + 5n = 0 -16 + 8n = 40 + 0 -16 + 8n = 40 Add '16' to each side of the equation. -16 + 16 + 8n = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 8n = 40 + 16 8n = 40 + 16 Combine like terms: 40 + 16 = 56 8n = 56 Divide each side by '8'. n = 7 Simplifying n = 7
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