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Simplifying 3(2n + -3) = 4n + 7 Reorder the terms: 3(-3 + 2n) = 4n + 7 (-3 * 3 + 2n * 3) = 4n + 7 (-9 + 6n) = 4n + 7 Reorder the terms: -9 + 6n = 7 + 4n Solving -9 + 6n = 7 + 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. -9 + 6n + -4n = 7 + 4n + -4n Combine like terms: 6n + -4n = 2n -9 + 2n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 2n = 7 + 0 -9 + 2n = 7 Add '9' to each side of the equation. -9 + 9 + 2n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 7 + 9 2n = 7 + 9 Combine like terms: 7 + 9 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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