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Simplifying -9(n + -4) = 3 + -8n Reorder the terms: -9(-4 + n) = 3 + -8n (-4 * -9 + n * -9) = 3 + -8n (36 + -9n) = 3 + -8n Solving 36 + -9n = 3 + -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. 36 + -9n + 8n = 3 + -8n + 8n Combine like terms: -9n + 8n = -1n 36 + -1n = 3 + -8n + 8n Combine like terms: -8n + 8n = 0 36 + -1n = 3 + 0 36 + -1n = 3 Add '-36' to each side of the equation. 36 + -36 + -1n = 3 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = 3 + -36 -1n = 3 + -36 Combine like terms: 3 + -36 = -33 -1n = -33 Divide each side by '-1'. n = 33 Simplifying n = 33
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