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Simplifying 4 + -1(7n + -5) + 18n = 5(5n + 1) Reorder the terms: 4 + -1(-5 + 7n) + 18n = 5(5n + 1) 4 + (-5 * -1 + 7n * -1) + 18n = 5(5n + 1) 4 + (5 + -7n) + 18n = 5(5n + 1) Combine like terms: 4 + 5 = 9 9 + -7n + 18n = 5(5n + 1) Combine like terms: -7n + 18n = 11n 9 + 11n = 5(5n + 1) Reorder the terms: 9 + 11n = 5(1 + 5n) 9 + 11n = (1 * 5 + 5n * 5) 9 + 11n = (5 + 25n) Solving 9 + 11n = 5 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 9 + 11n + -25n = 5 + 25n + -25n Combine like terms: 11n + -25n = -14n 9 + -14n = 5 + 25n + -25n Combine like terms: 25n + -25n = 0 9 + -14n = 5 + 0 9 + -14n = 5 Add '-9' to each side of the equation. 9 + -9 + -14n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -14n = 5 + -9 -14n = 5 + -9 Combine like terms: 5 + -9 = -4 -14n = -4 Divide each side by '-14'. n = 0.2857142857 Simplifying n = 0.2857142857
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