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Simplifying 5 + -8n + -17 = 3n + 6 + -2n Reorder the terms: 5 + -17 + -8n = 3n + 6 + -2n Combine like terms: 5 + -17 = -12 -12 + -8n = 3n + 6 + -2n Reorder the terms: -12 + -8n = 6 + 3n + -2n Combine like terms: 3n + -2n = 1n -12 + -8n = 6 + 1n Solving -12 + -8n = 6 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -12 + -8n + -1n = 6 + 1n + -1n Combine like terms: -8n + -1n = -9n -12 + -9n = 6 + 1n + -1n Combine like terms: 1n + -1n = 0 -12 + -9n = 6 + 0 -12 + -9n = 6 Add '12' to each side of the equation. -12 + 12 + -9n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9n = 6 + 12 -9n = 6 + 12 Combine like terms: 6 + 12 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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