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Simplifying 8n + -14 + -3n = 9(n + -3) Reorder the terms: -14 + 8n + -3n = 9(n + -3) Combine like terms: 8n + -3n = 5n -14 + 5n = 9(n + -3) Reorder the terms: -14 + 5n = 9(-3 + n) -14 + 5n = (-3 * 9 + n * 9) -14 + 5n = (-27 + 9n) Solving -14 + 5n = -27 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -14 + 5n + -9n = -27 + 9n + -9n Combine like terms: 5n + -9n = -4n -14 + -4n = -27 + 9n + -9n Combine like terms: 9n + -9n = 0 -14 + -4n = -27 + 0 -14 + -4n = -27 Add '14' to each side of the equation. -14 + 14 + -4n = -27 + 14 Combine like terms: -14 + 14 = 0 0 + -4n = -27 + 14 -4n = -27 + 14 Combine like terms: -27 + 14 = -13 -4n = -13 Divide each side by '-4'. n = 3.25 Simplifying n = 3.25
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