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Simplifying 5(2n + -5) = (4n + 4) + 2 Reorder the terms: 5(-5 + 2n) = (4n + 4) + 2 (-5 * 5 + 2n * 5) = (4n + 4) + 2 (-25 + 10n) = (4n + 4) + 2 Reorder the terms: -25 + 10n = (4 + 4n) + 2 Remove parenthesis around (4 + 4n) -25 + 10n = 4 + 4n + 2 Reorder the terms: -25 + 10n = 4 + 2 + 4n Combine like terms: 4 + 2 = 6 -25 + 10n = 6 + 4n Solving -25 + 10n = 6 + 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 = 6 + 4n + -4n Combine like terms: 10n + -4n = 6n -25 + 6n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -25 + 6n = 6 + 0 -25 + 6n = 6 Add '25' to each side of the equation. -25 + 25 + 6n = 6 + 25 Combine like terms: -25 + 25 = 0 0 + 6n = 6 + 25 6n = 6 + 25 Combine like terms: 6 + 25 = 31 6n = 31 Divide each side by '6'. n = 5.166666667 Simplifying n = 5.166666667
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