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Simplifying 18(8n + 7) = -9(2n + 14) Reorder the terms: 18(7 + 8n) = -9(2n + 14) (7 * 18 + 8n * 18) = -9(2n + 14) (126 + 144n) = -9(2n + 14) Reorder the terms: 126 + 144n = -9(14 + 2n) 126 + 144n = (14 * -9 + 2n * -9) 126 + 144n = (-126 + -18n) Solving 126 + 144n = -126 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 126 + 144n + 18n = -126 + -18n + 18n Combine like terms: 144n + 18n = 162n 126 + 162n = -126 + -18n + 18n Combine like terms: -18n + 18n = 0 126 + 162n = -126 + 0 126 + 162n = -126 Add '-126' to each side of the equation. 126 + -126 + 162n = -126 + -126 Combine like terms: 126 + -126 = 0 0 + 162n = -126 + -126 162n = -126 + -126 Combine like terms: -126 + -126 = -252 162n = -252 Divide each side by '162'. n = -1.555555556 Simplifying n = -1.555555556
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