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Simplifying 5(n + -9) = 8(n) Reorder the terms: 5(-9 + n) = 8(n) (-9 * 5 + n * 5) = 8(n) (-45 + 5n) = 8(n) Solving -45 + 5n = 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. -45 + 5n + -8n = 8n + -8n Combine like terms: 5n + -8n = -3n -45 + -3n = 8n + -8n Combine like terms: 8n + -8n = 0 -45 + -3n = 0 Add '45' to each side of the equation. -45 + 45 + -3n = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -3n = 0 + 45 -3n = 0 + 45 Combine like terms: 0 + 45 = 45 -3n = 45 Divide each side by '-3'. n = -15 Simplifying n = -15
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