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Simplifying 5(3n + -1) = (6n + 9) + 4 Reorder the terms: 5(-1 + 3n) = (6n + 9) + 4 (-1 * 5 + 3n * 5) = (6n + 9) + 4 (-5 + 15n) = (6n + 9) + 4 Reorder the terms: -5 + 15n = (9 + 6n) + 4 Remove parenthesis around (9 + 6n) -5 + 15n = 9 + 6n + 4 Reorder the terms: -5 + 15n = 9 + 4 + 6n Combine like terms: 9 + 4 = 13 -5 + 15n = 13 + 6n Solving -5 + 15n = 13 + 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. -5 + 15n + -6n = 13 + 6n + -6n Combine like terms: 15n + -6n = 9n -5 + 9n = 13 + 6n + -6n Combine like terms: 6n + -6n = 0 -5 + 9n = 13 + 0 -5 + 9n = 13 Add '5' to each side of the equation. -5 + 5 + 9n = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9n = 13 + 5 9n = 13 + 5 Combine like terms: 13 + 5 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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