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Simplifying 9(2n + -5) = (9n + 1) + 4 Reorder the terms: 9(-5 + 2n) = (9n + 1) + 4 (-5 * 9 + 2n * 9) = (9n + 1) + 4 (-45 + 18n) = (9n + 1) + 4 Reorder the terms: -45 + 18n = (1 + 9n) + 4 Remove parenthesis around (1 + 9n) -45 + 18n = 1 + 9n + 4 Reorder the terms: -45 + 18n = 1 + 4 + 9n Combine like terms: 1 + 4 = 5 -45 + 18n = 5 + 9n Solving -45 + 18n = 5 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -45 + 18n + -9n = 5 + 9n + -9n Combine like terms: 18n + -9n = 9n -45 + 9n = 5 + 9n + -9n Combine like terms: 9n + -9n = 0 -45 + 9n = 5 + 0 -45 + 9n = 5 Add '45' to each side of the equation. -45 + 45 + 9n = 5 + 45 Combine like terms: -45 + 45 = 0 0 + 9n = 5 + 45 9n = 5 + 45 Combine like terms: 5 + 45 = 50 9n = 50 Divide each side by '9'. n = 5.555555556 Simplifying n = 5.555555556
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