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Simplifying 8n + -9 = 3(4n + 5) Reorder the terms: -9 + 8n = 3(4n + 5) Reorder the terms: -9 + 8n = 3(5 + 4n) -9 + 8n = (5 * 3 + 4n * 3) -9 + 8n = (15 + 12n) Solving -9 + 8n = 15 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -9 + 8n + -12n = 15 + 12n + -12n Combine like terms: 8n + -12n = -4n -9 + -4n = 15 + 12n + -12n Combine like terms: 12n + -12n = 0 -9 + -4n = 15 + 0 -9 + -4n = 15 Add '9' to each side of the equation. -9 + 9 + -4n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -4n = 15 + 9 -4n = 15 + 9 Combine like terms: 15 + 9 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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