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Simplifying 7(3n + -5) = (6n + 9) + 2 Reorder the terms: 7(-5 + 3n) = (6n + 9) + 2 (-5 * 7 + 3n * 7) = (6n + 9) + 2 (-35 + 21n) = (6n + 9) + 2 Reorder the terms: -35 + 21n = (9 + 6n) + 2 Remove parenthesis around (9 + 6n) -35 + 21n = 9 + 6n + 2 Reorder the terms: -35 + 21n = 9 + 2 + 6n Combine like terms: 9 + 2 = 11 -35 + 21n = 11 + 6n Solving -35 + 21n = 11 + 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. -35 + 21n + -6n = 11 + 6n + -6n Combine like terms: 21n + -6n = 15n -35 + 15n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + 15n = 11 + 0 -35 + 15n = 11 Add '35' to each side of the equation. -35 + 35 + 15n = 11 + 35 Combine like terms: -35 + 35 = 0 0 + 15n = 11 + 35 15n = 11 + 35 Combine like terms: 11 + 35 = 46 15n = 46 Divide each side by '15'. n = 3.066666667 Simplifying n = 3.066666667
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