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Simplifying 5(2n + -5) = (4n + 3) + 6 Reorder the terms: 5(-5 + 2n) = (4n + 3) + 6 (-5 * 5 + 2n * 5) = (4n + 3) + 6 (-25 + 10n) = (4n + 3) + 6 Reorder the terms: -25 + 10n = (3 + 4n) + 6 Remove parenthesis around (3 + 4n) -25 + 10n = 3 + 4n + 6 Reorder the terms: -25 + 10n = 3 + 6 + 4n Combine like terms: 3 + 6 = 9 -25 + 10n = 9 + 4n Solving -25 + 10n = 9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -25 + 10n + -4n = 9 + 4n + -4n Combine like terms: 10n + -4n = 6n -25 + 6n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -25 + 6n = 9 + 0 -25 + 6n = 9 Add '25' to each side of the equation. -25 + 25 + 6n = 9 + 25 Combine like terms: -25 + 25 = 0 0 + 6n = 9 + 25 6n = 9 + 25 Combine like terms: 9 + 25 = 34 6n = 34 Divide each side by '6'. n = 5.666666667 Simplifying n = 5.666666667
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