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Simplifying 8n + 9(11 + -5n) = 12(n + -4) 8n + (11 * 9 + -5n * 9) = 12(n + -4) 8n + (99 + -45n) = 12(n + -4) Reorder the terms: 99 + 8n + -45n = 12(n + -4) Combine like terms: 8n + -45n = -37n 99 + -37n = 12(n + -4) Reorder the terms: 99 + -37n = 12(-4 + n) 99 + -37n = (-4 * 12 + n * 12) 99 + -37n = (-48 + 12n) Solving 99 + -37n = -48 + 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. 99 + -37n + -12n = -48 + 12n + -12n Combine like terms: -37n + -12n = -49n 99 + -49n = -48 + 12n + -12n Combine like terms: 12n + -12n = 0 99 + -49n = -48 + 0 99 + -49n = -48 Add '-99' to each side of the equation. 99 + -99 + -49n = -48 + -99 Combine like terms: 99 + -99 = 0 0 + -49n = -48 + -99 -49n = -48 + -99 Combine like terms: -48 + -99 = -147 -49n = -147 Divide each side by '-49'. n = 3 Simplifying n = 3
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