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Simplifying 3n + -16 = 8n + 29 Reorder the terms: -16 + 3n = 8n + 29 Reorder the terms: -16 + 3n = 29 + 8n Solving -16 + 3n = 29 + 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 + 3n + -8n = 29 + 8n + -8n Combine like terms: 3n + -8n = -5n -16 + -5n = 29 + 8n + -8n Combine like terms: 8n + -8n = 0 -16 + -5n = 29 + 0 -16 + -5n = 29 Add '16' to each side of the equation. -16 + 16 + -5n = 29 + 16 Combine like terms: -16 + 16 = 0 0 + -5n = 29 + 16 -5n = 29 + 16 Combine like terms: 29 + 16 = 45 -5n = 45 Divide each side by '-5'. n = -9 Simplifying n = -9
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