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Simplifying 3(n + 2) + -6(n + -3) = 2n + 9 Reorder the terms: 3(2 + n) + -6(n + -3) = 2n + 9 (2 * 3 + n * 3) + -6(n + -3) = 2n + 9 (6 + 3n) + -6(n + -3) = 2n + 9 Reorder the terms: 6 + 3n + -6(-3 + n) = 2n + 9 6 + 3n + (-3 * -6 + n * -6) = 2n + 9 6 + 3n + (18 + -6n) = 2n + 9 Reorder the terms: 6 + 18 + 3n + -6n = 2n + 9 Combine like terms: 6 + 18 = 24 24 + 3n + -6n = 2n + 9 Combine like terms: 3n + -6n = -3n 24 + -3n = 2n + 9 Reorder the terms: 24 + -3n = 9 + 2n Solving 24 + -3n = 9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 24 + -3n + -2n = 9 + 2n + -2n Combine like terms: -3n + -2n = -5n 24 + -5n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + -5n = 9 + 0 24 + -5n = 9 Add '-24' to each side of the equation. 24 + -24 + -5n = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5n = 9 + -24 -5n = 9 + -24 Combine like terms: 9 + -24 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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