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Simplifying 4(11 + n) = -4(n + -9) (11 * 4 + n * 4) = -4(n + -9) (44 + 4n) = -4(n + -9) Reorder the terms: 44 + 4n = -4(-9 + n) 44 + 4n = (-9 * -4 + n * -4) 44 + 4n = (36 + -4n) Solving 44 + 4n = 36 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 44 + 4n + 4n = 36 + -4n + 4n Combine like terms: 4n + 4n = 8n 44 + 8n = 36 + -4n + 4n Combine like terms: -4n + 4n = 0 44 + 8n = 36 + 0 44 + 8n = 36 Add '-44' to each side of the equation. 44 + -44 + 8n = 36 + -44 Combine like terms: 44 + -44 = 0 0 + 8n = 36 + -44 8n = 36 + -44 Combine like terms: 36 + -44 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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