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Simplifying 3n + -17 = 8(n + -4) Reorder the terms: -17 + 3n = 8(n + -4) Reorder the terms: -17 + 3n = 8(-4 + n) -17 + 3n = (-4 * 8 + n * 8) -17 + 3n = (-32 + 8n) Solving -17 + 3n = -32 + 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. -17 + 3n + -8n = -32 + 8n + -8n Combine like terms: 3n + -8n = -5n -17 + -5n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 -17 + -5n = -32 + 0 -17 + -5n = -32 Add '17' to each side of the equation. -17 + 17 + -5n = -32 + 17 Combine like terms: -17 + 17 = 0 0 + -5n = -32 + 17 -5n = -32 + 17 Combine like terms: -32 + 17 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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