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Simplifying 2(3n + -5) = 4n + 12 Reorder the terms: 2(-5 + 3n) = 4n + 12 (-5 * 2 + 3n * 2) = 4n + 12 (-10 + 6n) = 4n + 12 Reorder the terms: -10 + 6n = 12 + 4n Solving -10 + 6n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -10 + 6n + -4n = 12 + 4n + -4n Combine like terms: 6n + -4n = 2n -10 + 2n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + 2n = 12 + 0 -10 + 2n = 12 Add '10' to each side of the equation. -10 + 10 + 2n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 12 + 10 2n = 12 + 10 Combine like terms: 12 + 10 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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