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Simplifying 2(3n + -5) = (2n + 8) + 5 Reorder the terms: 2(-5 + 3n) = (2n + 8) + 5 (-5 * 2 + 3n * 2) = (2n + 8) + 5 (-10 + 6n) = (2n + 8) + 5 Reorder the terms: -10 + 6n = (8 + 2n) + 5 Remove parenthesis around (8 + 2n) -10 + 6n = 8 + 2n + 5 Reorder the terms: -10 + 6n = 8 + 5 + 2n Combine like terms: 8 + 5 = 13 -10 + 6n = 13 + 2n Solving -10 + 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. -10 + 6n + -2n = 13 + 2n + -2n Combine like terms: 6n + -2n = 4n -10 + 4n = 13 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 4n = 13 + 0 -10 + 4n = 13 Add '10' to each side of the equation. -10 + 10 + 4n = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = 13 + 10 4n = 13 + 10 Combine like terms: 13 + 10 = 23 4n = 23 Divide each side by '4'. n = 5.75 Simplifying n = 5.75
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