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Simplifying 4(4 + -3n) + -8(-9 + -1n) = -4n + -4n (4 * 4 + -3n * 4) + -8(-9 + -1n) = -4n + -4n (16 + -12n) + -8(-9 + -1n) = -4n + -4n 16 + -12n + (-9 * -8 + -1n * -8) = -4n + -4n 16 + -12n + (72 + 8n) = -4n + -4n Reorder the terms: 16 + 72 + -12n + 8n = -4n + -4n Combine like terms: 16 + 72 = 88 88 + -12n + 8n = -4n + -4n Combine like terms: -12n + 8n = -4n 88 + -4n = -4n + -4n Combine like terms: -4n + -4n = -8n 88 + -4n = -8n Solving 88 + -4n = -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. 88 + -4n + 8n = -8n + 8n Combine like terms: -4n + 8n = 4n 88 + 4n = -8n + 8n Combine like terms: -8n + 8n = 0 88 + 4n = 0 Add '-88' to each side of the equation. 88 + -88 + 4n = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 4n = 0 + -88 4n = 0 + -88 Combine like terms: 0 + -88 = -88 4n = -88 Divide each side by '4'. n = -22 Simplifying n = -22
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