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Simplifying -1(3 + -2n) + 7n = 3(n + 3) (3 * -1 + -2n * -1) + 7n = 3(n + 3) (-3 + 2n) + 7n = 3(n + 3) Combine like terms: 2n + 7n = 9n -3 + 9n = 3(n + 3) Reorder the terms: -3 + 9n = 3(3 + n) -3 + 9n = (3 * 3 + n * 3) -3 + 9n = (9 + 3n) Solving -3 + 9n = 9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -3 + 9n + -3n = 9 + 3n + -3n Combine like terms: 9n + -3n = 6n -3 + 6n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + 6n = 9 + 0 -3 + 6n = 9 Add '3' to each side of the equation. -3 + 3 + 6n = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6n = 9 + 3 6n = 9 + 3 Combine like terms: 9 + 3 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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