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Simplifying 27 + 2n = 6(1 + -3n) + -1n 27 + 2n = (1 * 6 + -3n * 6) + -1n 27 + 2n = (6 + -18n) + -1n Combine like terms: -18n + -1n = -19n 27 + 2n = 6 + -19n Solving 27 + 2n = 6 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. 27 + 2n + 19n = 6 + -19n + 19n Combine like terms: 2n + 19n = 21n 27 + 21n = 6 + -19n + 19n Combine like terms: -19n + 19n = 0 27 + 21n = 6 + 0 27 + 21n = 6 Add '-27' to each side of the equation. 27 + -27 + 21n = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 21n = 6 + -27 21n = 6 + -27 Combine like terms: 6 + -27 = -21 21n = -21 Divide each side by '21'. n = -1 Simplifying n = -1
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