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Simplifying -8(9 + -3n) + 8n = 6(9 + 3n) (9 * -8 + -3n * -8) + 8n = 6(9 + 3n) (-72 + 24n) + 8n = 6(9 + 3n) Combine like terms: 24n + 8n = 32n -72 + 32n = 6(9 + 3n) -72 + 32n = (9 * 6 + 3n * 6) -72 + 32n = (54 + 18n) Solving -72 + 32n = 54 + 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. -72 + 32n + -18n = 54 + 18n + -18n Combine like terms: 32n + -18n = 14n -72 + 14n = 54 + 18n + -18n Combine like terms: 18n + -18n = 0 -72 + 14n = 54 + 0 -72 + 14n = 54 Add '72' to each side of the equation. -72 + 72 + 14n = 54 + 72 Combine like terms: -72 + 72 = 0 0 + 14n = 54 + 72 14n = 54 + 72 Combine like terms: 54 + 72 = 126 14n = 126 Divide each side by '14'. n = 9 Simplifying n = 9
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