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Simplifying -4(n + -5) = 4(7 + -2n) Reorder the terms: -4(-5 + n) = 4(7 + -2n) (-5 * -4 + n * -4) = 4(7 + -2n) (20 + -4n) = 4(7 + -2n) 20 + -4n = (7 * 4 + -2n * 4) 20 + -4n = (28 + -8n) Solving 20 + -4n = 28 + -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. 20 + -4n + 8n = 28 + -8n + 8n Combine like terms: -4n + 8n = 4n 20 + 4n = 28 + -8n + 8n Combine like terms: -8n + 8n = 0 20 + 4n = 28 + 0 20 + 4n = 28 Add '-20' to each side of the equation. 20 + -20 + 4n = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 4n = 28 + -20 4n = 28 + -20 Combine like terms: 28 + -20 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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