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Simplifying -27 + -6n = -3(5n + 6) Reorder the terms: -27 + -6n = -3(6 + 5n) -27 + -6n = (6 * -3 + 5n * -3) -27 + -6n = (-18 + -15n) Solving -27 + -6n = -18 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -27 + -6n + 15n = -18 + -15n + 15n Combine like terms: -6n + 15n = 9n -27 + 9n = -18 + -15n + 15n Combine like terms: -15n + 15n = 0 -27 + 9n = -18 + 0 -27 + 9n = -18 Add '27' to each side of the equation. -27 + 27 + 9n = -18 + 27 Combine like terms: -27 + 27 = 0 0 + 9n = -18 + 27 9n = -18 + 27 Combine like terms: -18 + 27 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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