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Simplifying 14n + -5 = 9(n + -6) + 8n Reorder the terms: -5 + 14n = 9(n + -6) + 8n Reorder the terms: -5 + 14n = 9(-6 + n) + 8n -5 + 14n = (-6 * 9 + n * 9) + 8n -5 + 14n = (-54 + 9n) + 8n Combine like terms: 9n + 8n = 17n -5 + 14n = -54 + 17n Solving -5 + 14n = -54 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -5 + 14n + -17n = -54 + 17n + -17n Combine like terms: 14n + -17n = -3n -5 + -3n = -54 + 17n + -17n Combine like terms: 17n + -17n = 0 -5 + -3n = -54 + 0 -5 + -3n = -54 Add '5' to each side of the equation. -5 + 5 + -3n = -54 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = -54 + 5 -3n = -54 + 5 Combine like terms: -54 + 5 = -49 -3n = -49 Divide each side by '-3'. n = 16.33333333 Simplifying n = 16.33333333
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