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Simplifying 5n + 5(8 + -4n) = 4n + 11(-10 + -4n) 5n + (8 * 5 + -4n * 5) = 4n + 11(-10 + -4n) 5n + (40 + -20n) = 4n + 11(-10 + -4n) Reorder the terms: 40 + 5n + -20n = 4n + 11(-10 + -4n) Combine like terms: 5n + -20n = -15n 40 + -15n = 4n + 11(-10 + -4n) 40 + -15n = 4n + (-10 * 11 + -4n * 11) 40 + -15n = 4n + (-110 + -44n) Reorder the terms: 40 + -15n = -110 + 4n + -44n Combine like terms: 4n + -44n = -40n 40 + -15n = -110 + -40n Solving 40 + -15n = -110 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 40 + -15n + 40n = -110 + -40n + 40n Combine like terms: -15n + 40n = 25n 40 + 25n = -110 + -40n + 40n Combine like terms: -40n + 40n = 0 40 + 25n = -110 + 0 40 + 25n = -110 Add '-40' to each side of the equation. 40 + -40 + 25n = -110 + -40 Combine like terms: 40 + -40 = 0 0 + 25n = -110 + -40 25n = -110 + -40 Combine like terms: -110 + -40 = -150 25n = -150 Divide each side by '25'. n = -6 Simplifying n = -6
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