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Simplifying 4(3n + -1) = (6n + 9) + 4 Reorder the terms: 4(-1 + 3n) = (6n + 9) + 4 (-1 * 4 + 3n * 4) = (6n + 9) + 4 (-4 + 12n) = (6n + 9) + 4 Reorder the terms: -4 + 12n = (9 + 6n) + 4 Remove parenthesis around (9 + 6n) -4 + 12n = 9 + 6n + 4 Reorder the terms: -4 + 12n = 9 + 4 + 6n Combine like terms: 9 + 4 = 13 -4 + 12n = 13 + 6n Solving -4 + 12n = 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. -4 + 12n + -6n = 13 + 6n + -6n Combine like terms: 12n + -6n = 6n -4 + 6n = 13 + 6n + -6n Combine like terms: 6n + -6n = 0 -4 + 6n = 13 + 0 -4 + 6n = 13 Add '4' to each side of the equation. -4 + 4 + 6n = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 13 + 4 6n = 13 + 4 Combine like terms: 13 + 4 = 17 6n = 17 Divide each side by '6'. n = 2.833333333 Simplifying n = 2.833333333
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