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Simplifying -4n + 5(8 + -5n) = 19 + -8n -4n + (8 * 5 + -5n * 5) = 19 + -8n -4n + (40 + -25n) = 19 + -8n Reorder the terms: 40 + -4n + -25n = 19 + -8n Combine like terms: -4n + -25n = -29n 40 + -29n = 19 + -8n Solving 40 + -29n = 19 + -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. 40 + -29n + 8n = 19 + -8n + 8n Combine like terms: -29n + 8n = -21n 40 + -21n = 19 + -8n + 8n Combine like terms: -8n + 8n = 0 40 + -21n = 19 + 0 40 + -21n = 19 Add '-40' to each side of the equation. 40 + -40 + -21n = 19 + -40 Combine like terms: 40 + -40 = 0 0 + -21n = 19 + -40 -21n = 19 + -40 Combine like terms: 19 + -40 = -21 -21n = -21 Divide each side by '-21'. n = 1 Simplifying n = 1
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