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Simplifying 10n + 9 = 4n + 8n + -5 Reorder the terms: 9 + 10n = 4n + 8n + -5 Reorder the terms: 9 + 10n = -5 + 4n + 8n Combine like terms: 4n + 8n = 12n 9 + 10n = -5 + 12n Solving 9 + 10n = -5 + 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 + 10n + -12n = -5 + 12n + -12n Combine like terms: 10n + -12n = -2n 9 + -2n = -5 + 12n + -12n Combine like terms: 12n + -12n = 0 9 + -2n = -5 + 0 9 + -2n = -5 Add '-9' to each side of the equation. 9 + -9 + -2n = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -2n = -5 + -9 -2n = -5 + -9 Combine like terms: -5 + -9 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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