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Simplifying 18(3n + 5) = -9(2n + -18) Reorder the terms: 18(5 + 3n) = -9(2n + -18) (5 * 18 + 3n * 18) = -9(2n + -18) (90 + 54n) = -9(2n + -18) Reorder the terms: 90 + 54n = -9(-18 + 2n) 90 + 54n = (-18 * -9 + 2n * -9) 90 + 54n = (162 + -18n) Solving 90 + 54n = 162 + -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. 90 + 54n + 18n = 162 + -18n + 18n Combine like terms: 54n + 18n = 72n 90 + 72n = 162 + -18n + 18n Combine like terms: -18n + 18n = 0 90 + 72n = 162 + 0 90 + 72n = 162 Add '-90' to each side of the equation. 90 + -90 + 72n = 162 + -90 Combine like terms: 90 + -90 = 0 0 + 72n = 162 + -90 72n = 162 + -90 Combine like terms: 162 + -90 = 72 72n = 72 Divide each side by '72'. n = 1 Simplifying n = 1
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