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Simplifying 3(2n + -1) = 4(n + 5) + 1 Reorder the terms: 3(-1 + 2n) = 4(n + 5) + 1 (-1 * 3 + 2n * 3) = 4(n + 5) + 1 (-3 + 6n) = 4(n + 5) + 1 Reorder the terms: -3 + 6n = 4(5 + n) + 1 -3 + 6n = (5 * 4 + n * 4) + 1 -3 + 6n = (20 + 4n) + 1 Reorder the terms: -3 + 6n = 20 + 1 + 4n Combine like terms: 20 + 1 = 21 -3 + 6n = 21 + 4n Solving -3 + 6n = 21 + 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. -3 + 6n + -4n = 21 + 4n + -4n Combine like terms: 6n + -4n = 2n -3 + 2n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + 2n = 21 + 0 -3 + 2n = 21 Add '3' to each side of the equation. -3 + 3 + 2n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 21 + 3 2n = 21 + 3 Combine like terms: 21 + 3 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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