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Simplifying 5(3n + -1) = (3n + 9) + 9 Reorder the terms: 5(-1 + 3n) = (3n + 9) + 9 (-1 * 5 + 3n * 5) = (3n + 9) + 9 (-5 + 15n) = (3n + 9) + 9 Reorder the terms: -5 + 15n = (9 + 3n) + 9 Remove parenthesis around (9 + 3n) -5 + 15n = 9 + 3n + 9 Reorder the terms: -5 + 15n = 9 + 9 + 3n Combine like terms: 9 + 9 = 18 -5 + 15n = 18 + 3n Solving -5 + 15n = 18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + 15n + -3n = 18 + 3n + -3n Combine like terms: 15n + -3n = 12n -5 + 12n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 12n = 18 + 0 -5 + 12n = 18 Add '5' to each side of the equation. -5 + 5 + 12n = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 12n = 18 + 5 12n = 18 + 5 Combine like terms: 18 + 5 = 23 12n = 23 Divide each side by '12'. n = 1.916666667 Simplifying n = 1.916666667
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