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Simplifying 2(6n + -1) + -2n = 6n + 9 Reorder the terms: 2(-1 + 6n) + -2n = 6n + 9 (-1 * 2 + 6n * 2) + -2n = 6n + 9 (-2 + 12n) + -2n = 6n + 9 Combine like terms: 12n + -2n = 10n -2 + 10n = 6n + 9 Reorder the terms: -2 + 10n = 9 + 6n Solving -2 + 10n = 9 + 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. -2 + 10n + -6n = 9 + 6n + -6n Combine like terms: 10n + -6n = 4n -2 + 4n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + 4n = 9 + 0 -2 + 4n = 9 Add '2' to each side of the equation. -2 + 2 + 4n = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 4n = 9 + 2 4n = 9 + 2 Combine like terms: 9 + 2 = 11 4n = 11 Divide each side by '4'. n = 2.75 Simplifying n = 2.75
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