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Simplifying 5n + 4(-5 + 3n) = 1 + -1n 5n + (-5 * 4 + 3n * 4) = 1 + -1n 5n + (-20 + 12n) = 1 + -1n Reorder the terms: -20 + 5n + 12n = 1 + -1n Combine like terms: 5n + 12n = 17n -20 + 17n = 1 + -1n Solving -20 + 17n = 1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -20 + 17n + n = 1 + -1n + n Combine like terms: 17n + n = 18n -20 + 18n = 1 + -1n + n Combine like terms: -1n + n = 0 -20 + 18n = 1 + 0 -20 + 18n = 1 Add '20' to each side of the equation. -20 + 20 + 18n = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 18n = 1 + 20 18n = 1 + 20 Combine like terms: 1 + 20 = 21 18n = 21 Divide each side by '18'. n = 1.166666667 Simplifying n = 1.166666667
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