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Simplifying 9(n + 2) = -2(1 + -4n) Reorder the terms: 9(2 + n) = -2(1 + -4n) (2 * 9 + n * 9) = -2(1 + -4n) (18 + 9n) = -2(1 + -4n) 18 + 9n = (1 * -2 + -4n * -2) 18 + 9n = (-2 + 8n) Solving 18 + 9n = -2 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 18 + 9n + -8n = -2 + 8n + -8n Combine like terms: 9n + -8n = 1n 18 + 1n = -2 + 8n + -8n Combine like terms: 8n + -8n = 0 18 + 1n = -2 + 0 18 + 1n = -2 Add '-18' to each side of the equation. 18 + -18 + 1n = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = -2 + -18 1n = -2 + -18 Combine like terms: -2 + -18 = -20 1n = -20 Divide each side by '1'. n = -20 Simplifying n = -20
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