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Simplifying 30n + -9 = 3(6n + 9) Reorder the terms: -9 + 30n = 3(6n + 9) Reorder the terms: -9 + 30n = 3(9 + 6n) -9 + 30n = (9 * 3 + 6n * 3) -9 + 30n = (27 + 18n) Solving -9 + 30n = 27 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -9 + 30n + -18n = 27 + 18n + -18n Combine like terms: 30n + -18n = 12n -9 + 12n = 27 + 18n + -18n Combine like terms: 18n + -18n = 0 -9 + 12n = 27 + 0 -9 + 12n = 27 Add '9' to each side of the equation. -9 + 9 + 12n = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 12n = 27 + 9 12n = 27 + 9 Combine like terms: 27 + 9 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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