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Simplifying 2(3n + -5) = (2n + 5) + 7 Reorder the terms: 2(-5 + 3n) = (2n + 5) + 7 (-5 * 2 + 3n * 2) = (2n + 5) + 7 (-10 + 6n) = (2n + 5) + 7 Reorder the terms: -10 + 6n = (5 + 2n) + 7 Remove parenthesis around (5 + 2n) -10 + 6n = 5 + 2n + 7 Reorder the terms: -10 + 6n = 5 + 7 + 2n Combine like terms: 5 + 7 = 12 -10 + 6n = 12 + 2n Solving -10 + 6n = 12 + 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 = 12 + 2n + -2n Combine like terms: 6n + -2n = 4n -10 + 4n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 4n = 12 + 0 -10 + 4n = 12 Add '10' to each side of the equation. -10 + 10 + 4n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = 12 + 10 4n = 12 + 10 Combine like terms: 12 + 10 = 22 4n = 22 Divide each side by '4'. n = 5.5 Simplifying n = 5.5
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