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Simplifying 5(2n + 7) = (6n + 11) Reorder the terms: 5(7 + 2n) = (6n + 11) (7 * 5 + 2n * 5) = (6n + 11) (35 + 10n) = (6n + 11) Reorder the terms: 35 + 10n = (11 + 6n) Remove parenthesis around (11 + 6n) 35 + 10n = 11 + 6n Solving 35 + 10n = 11 + 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 + 10n + -6n = 11 + 6n + -6n Combine like terms: 10n + -6n = 4n 35 + 4n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 35 + 4n = 11 + 0 35 + 4n = 11 Add '-35' to each side of the equation. 35 + -35 + 4n = 11 + -35 Combine like terms: 35 + -35 = 0 0 + 4n = 11 + -35 4n = 11 + -35 Combine like terms: 11 + -35 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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