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Simplifying 7(3n + -5) = (6n + 9) + 9 Reorder the terms: 7(-5 + 3n) = (6n + 9) + 9 (-5 * 7 + 3n * 7) = (6n + 9) + 9 (-35 + 21n) = (6n + 9) + 9 Reorder the terms: -35 + 21n = (9 + 6n) + 9 Remove parenthesis around (9 + 6n) -35 + 21n = 9 + 6n + 9 Reorder the terms: -35 + 21n = 9 + 9 + 6n Combine like terms: 9 + 9 = 18 -35 + 21n = 18 + 6n Solving -35 + 21n = 18 + 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 = 18 + 6n + -6n Combine like terms: 21n + -6n = 15n -35 + 15n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + 15n = 18 + 0 -35 + 15n = 18 Add '35' to each side of the equation. -35 + 35 + 15n = 18 + 35 Combine like terms: -35 + 35 = 0 0 + 15n = 18 + 35 15n = 18 + 35 Combine like terms: 18 + 35 = 53 15n = 53 Divide each side by '15'. n = 3.533333333 Simplifying n = 3.533333333
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