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Simplifying 3(2n + 3) = 3(5n + -3) Reorder the terms: 3(3 + 2n) = 3(5n + -3) (3 * 3 + 2n * 3) = 3(5n + -3) (9 + 6n) = 3(5n + -3) Reorder the terms: 9 + 6n = 3(-3 + 5n) 9 + 6n = (-3 * 3 + 5n * 3) 9 + 6n = (-9 + 15n) Solving 9 + 6n = -9 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 9 + 6n + -15n = -9 + 15n + -15n Combine like terms: 6n + -15n = -9n 9 + -9n = -9 + 15n + -15n Combine like terms: 15n + -15n = 0 9 + -9n = -9 + 0 9 + -9n = -9 Add '-9' to each side of the equation. 9 + -9 + -9n = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -9n = -9 + -9 -9n = -9 + -9 Combine like terms: -9 + -9 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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