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Simplifying 3(-6n + 1) = 27 + 6n Reorder the terms: 3(1 + -6n) = 27 + 6n (1 * 3 + -6n * 3) = 27 + 6n (3 + -18n) = 27 + 6n Solving 3 + -18n = 27 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 3 + -18n + -6n = 27 + 6n + -6n Combine like terms: -18n + -6n = -24n 3 + -24n = 27 + 6n + -6n Combine like terms: 6n + -6n = 0 3 + -24n = 27 + 0 3 + -24n = 27 Add '-3' to each side of the equation. 3 + -3 + -24n = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -24n = 27 + -3 -24n = 27 + -3 Combine like terms: 27 + -3 = 24 -24n = 24 Divide each side by '-24'. n = -1 Simplifying n = -1
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