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Simplifying 3(2n + -1) = (2n + 5) + 8 Reorder the terms: 3(-1 + 2n) = (2n + 5) + 8 (-1 * 3 + 2n * 3) = (2n + 5) + 8 (-3 + 6n) = (2n + 5) + 8 Reorder the terms: -3 + 6n = (5 + 2n) + 8 Remove parenthesis around (5 + 2n) -3 + 6n = 5 + 2n + 8 Reorder the terms: -3 + 6n = 5 + 8 + 2n Combine like terms: 5 + 8 = 13 -3 + 6n = 13 + 2n Solving -3 + 6n = 13 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -3 + 6n + -2n = 13 + 2n + -2n Combine like terms: 6n + -2n = 4n -3 + 4n = 13 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 4n = 13 + 0 -3 + 4n = 13 Add '3' to each side of the equation. -3 + 3 + 4n = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4n = 13 + 3 4n = 13 + 3 Combine like terms: 13 + 3 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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