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Simplifying 12n + -30 = -21 + 9n + 2n Reorder the terms: -30 + 12n = -21 + 9n + 2n Combine like terms: 9n + 2n = 11n -30 + 12n = -21 + 11n Solving -30 + 12n = -21 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -30 + 12n + -11n = -21 + 11n + -11n Combine like terms: 12n + -11n = 1n -30 + 1n = -21 + 11n + -11n Combine like terms: 11n + -11n = 0 -30 + 1n = -21 + 0 -30 + 1n = -21 Add '30' to each side of the equation. -30 + 30 + 1n = -21 + 30 Combine like terms: -30 + 30 = 0 0 + 1n = -21 + 30 1n = -21 + 30 Combine like terms: -21 + 30 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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