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Simplifying 5(2n + -5) = (6n + 5) + 2 Reorder the terms: 5(-5 + 2n) = (6n + 5) + 2 (-5 * 5 + 2n * 5) = (6n + 5) + 2 (-25 + 10n) = (6n + 5) + 2 Reorder the terms: -25 + 10n = (5 + 6n) + 2 Remove parenthesis around (5 + 6n) -25 + 10n = 5 + 6n + 2 Reorder the terms: -25 + 10n = 5 + 2 + 6n Combine like terms: 5 + 2 = 7 -25 + 10n = 7 + 6n Solving -25 + 10n = 7 + 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 = 7 + 6n + -6n Combine like terms: 10n + -6n = 4n -25 + 4n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 -25 + 4n = 7 + 0 -25 + 4n = 7 Add '25' to each side of the equation. -25 + 25 + 4n = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 4n = 7 + 25 4n = 7 + 25 Combine like terms: 7 + 25 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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