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Simplifying 9(3n + -5) = (6n + 5) + 1 Reorder the terms: 9(-5 + 3n) = (6n + 5) + 1 (-5 * 9 + 3n * 9) = (6n + 5) + 1 (-45 + 27n) = (6n + 5) + 1 Reorder the terms: -45 + 27n = (5 + 6n) + 1 Remove parenthesis around (5 + 6n) -45 + 27n = 5 + 6n + 1 Reorder the terms: -45 + 27n = 5 + 1 + 6n Combine like terms: 5 + 1 = 6 -45 + 27n = 6 + 6n Solving -45 + 27n = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -45 + 27n + -6n = 6 + 6n + -6n Combine like terms: 27n + -6n = 21n -45 + 21n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 -45 + 21n = 6 + 0 -45 + 21n = 6 Add '45' to each side of the equation. -45 + 45 + 21n = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 21n = 6 + 45 21n = 6 + 45 Combine like terms: 6 + 45 = 51 21n = 51 Divide each side by '21'. n = 2.428571429 Simplifying n = 2.428571429
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