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Simplifying 5(2n + -1) = (6n + 1) + 2 Reorder the terms: 5(-1 + 2n) = (6n + 1) + 2 (-1 * 5 + 2n * 5) = (6n + 1) + 2 (-5 + 10n) = (6n + 1) + 2 Reorder the terms: -5 + 10n = (1 + 6n) + 2 Remove parenthesis around (1 + 6n) -5 + 10n = 1 + 6n + 2 Reorder the terms: -5 + 10n = 1 + 2 + 6n Combine like terms: 1 + 2 = 3 -5 + 10n = 3 + 6n Solving -5 + 10n = 3 + 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. -5 + 10n + -6n = 3 + 6n + -6n Combine like terms: 10n + -6n = 4n -5 + 4n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 -5 + 4n = 3 + 0 -5 + 4n = 3 Add '5' to each side of the equation. -5 + 5 + 4n = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 3 + 5 4n = 3 + 5 Combine like terms: 3 + 5 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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