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Simplifying -2(9n + 9) = -3(8n + -8) Reorder the terms: -2(9 + 9n) = -3(8n + -8) (9 * -2 + 9n * -2) = -3(8n + -8) (-18 + -18n) = -3(8n + -8) Reorder the terms: -18 + -18n = -3(-8 + 8n) -18 + -18n = (-8 * -3 + 8n * -3) -18 + -18n = (24 + -24n) Solving -18 + -18n = 24 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -18 + -18n + 24n = 24 + -24n + 24n Combine like terms: -18n + 24n = 6n -18 + 6n = 24 + -24n + 24n Combine like terms: -24n + 24n = 0 -18 + 6n = 24 + 0 -18 + 6n = 24 Add '18' to each side of the equation. -18 + 18 + 6n = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 6n = 24 + 18 6n = 24 + 18 Combine like terms: 24 + 18 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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