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Simplifying 3(2n + 3) = 9n + -3(n + -3n) Reorder the terms: 3(3 + 2n) = 9n + -3(n + -3n) (3 * 3 + 2n * 3) = 9n + -3(n + -3n) (9 + 6n) = 9n + -3(n + -3n) Combine like terms: n + -3n = -2n 9 + 6n = 9n + -3(-2n) Remove parenthesis around (-2n) 9 + 6n = 9n + -3 * -2n Multiply -3 * -2 9 + 6n = 9n + 6n Combine like terms: 9n + 6n = 15n 9 + 6n = 15n Solving 9 + 6n = 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 = 15n + -15n Combine like terms: 6n + -15n = -9n 9 + -9n = 15n + -15n Combine like terms: 15n + -15n = 0 9 + -9n = 0 Add '-9' to each side of the equation. 9 + -9 + -9n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9n = 0 + -9 -9n = 0 + -9 Combine like terms: 0 + -9 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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