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Simplifying -4n + 4(2n + 9) = -3n + 8 Reorder the terms: -4n + 4(9 + 2n) = -3n + 8 -4n + (9 * 4 + 2n * 4) = -3n + 8 -4n + (36 + 8n) = -3n + 8 Reorder the terms: 36 + -4n + 8n = -3n + 8 Combine like terms: -4n + 8n = 4n 36 + 4n = -3n + 8 Reorder the terms: 36 + 4n = 8 + -3n Solving 36 + 4n = 8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 36 + 4n + 3n = 8 + -3n + 3n Combine like terms: 4n + 3n = 7n 36 + 7n = 8 + -3n + 3n Combine like terms: -3n + 3n = 0 36 + 7n = 8 + 0 36 + 7n = 8 Add '-36' to each side of the equation. 36 + -36 + 7n = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7n = 8 + -36 7n = 8 + -36 Combine like terms: 8 + -36 = -28 7n = -28 Divide each side by '7'. n = -4 Simplifying n = -4
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