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Simplifying -4(n + -8) + -1(-8n + -1) = 3n Reorder the terms: -4(-8 + n) + -1(-8n + -1) = 3n (-8 * -4 + n * -4) + -1(-8n + -1) = 3n (32 + -4n) + -1(-8n + -1) = 3n Reorder the terms: 32 + -4n + -1(-1 + -8n) = 3n 32 + -4n + (-1 * -1 + -8n * -1) = 3n 32 + -4n + (1 + 8n) = 3n Reorder the terms: 32 + 1 + -4n + 8n = 3n Combine like terms: 32 + 1 = 33 33 + -4n + 8n = 3n Combine like terms: -4n + 8n = 4n 33 + 4n = 3n Solving 33 + 4n = 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. 33 + 4n + -3n = 3n + -3n Combine like terms: 4n + -3n = 1n 33 + 1n = 3n + -3n Combine like terms: 3n + -3n = 0 33 + 1n = 0 Add '-33' to each side of the equation. 33 + -33 + 1n = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 1n = 0 + -33 1n = 0 + -33 Combine like terms: 0 + -33 = -33 1n = -33 Divide each side by '1'. n = -33 Simplifying n = -33
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