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Simplifying 5(2n + -5) = (6n + 9) + 9 Reorder the terms: 5(-5 + 2n) = (6n + 9) + 9 (-5 * 5 + 2n * 5) = (6n + 9) + 9 (-25 + 10n) = (6n + 9) + 9 Reorder the terms: -25 + 10n = (9 + 6n) + 9 Remove parenthesis around (9 + 6n) -25 + 10n = 9 + 6n + 9 Reorder the terms: -25 + 10n = 9 + 9 + 6n Combine like terms: 9 + 9 = 18 -25 + 10n = 18 + 6n Solving -25 + 10n = 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. -25 + 10n + -6n = 18 + 6n + -6n Combine like terms: 10n + -6n = 4n -25 + 4n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -25 + 4n = 18 + 0 -25 + 4n = 18 Add '25' to each side of the equation. -25 + 25 + 4n = 18 + 25 Combine like terms: -25 + 25 = 0 0 + 4n = 18 + 25 4n = 18 + 25 Combine like terms: 18 + 25 = 43 4n = 43 Divide each side by '4'. n = 10.75 Simplifying n = 10.75
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