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Simplifying 7n + -9 + -12 + 4n = 2n + 6 + -6n + 18 Reorder the terms: -9 + -12 + 7n + 4n = 2n + 6 + -6n + 18 Combine like terms: -9 + -12 = -21 -21 + 7n + 4n = 2n + 6 + -6n + 18 Combine like terms: 7n + 4n = 11n -21 + 11n = 2n + 6 + -6n + 18 Reorder the terms: -21 + 11n = 6 + 18 + 2n + -6n Combine like terms: 6 + 18 = 24 -21 + 11n = 24 + 2n + -6n Combine like terms: 2n + -6n = -4n -21 + 11n = 24 + -4n Solving -21 + 11n = 24 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -21 + 11n + 4n = 24 + -4n + 4n Combine like terms: 11n + 4n = 15n -21 + 15n = 24 + -4n + 4n Combine like terms: -4n + 4n = 0 -21 + 15n = 24 + 0 -21 + 15n = 24 Add '21' to each side of the equation. -21 + 21 + 15n = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 15n = 24 + 21 15n = 24 + 21 Combine like terms: 24 + 21 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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