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Simplifying 10(3 + 3n) = 9 + 9n (3 * 10 + 3n * 10) = 9 + 9n (30 + 30n) = 9 + 9n Solving 30 + 30n = 9 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 30 + 30n + -9n = 9 + 9n + -9n Combine like terms: 30n + -9n = 21n 30 + 21n = 9 + 9n + -9n Combine like terms: 9n + -9n = 0 30 + 21n = 9 + 0 30 + 21n = 9 Add '-30' to each side of the equation. 30 + -30 + 21n = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 21n = 9 + -30 21n = 9 + -30 Combine like terms: 9 + -30 = -21 21n = -21 Divide each side by '21'. n = -1 Simplifying n = -1
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