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Simplifying -270 = -6(6n + 3) Reorder the terms: -270 = -6(3 + 6n) -270 = (3 * -6 + 6n * -6) -270 = (-18 + -36n) Solving -270 = -18 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -270 + 36n = -18 + -36n + 36n Combine like terms: -36n + 36n = 0 -270 + 36n = -18 + 0 -270 + 36n = -18 Add '270' to each side of the equation. -270 + 270 + 36n = -18 + 270 Combine like terms: -270 + 270 = 0 0 + 36n = -18 + 270 36n = -18 + 270 Combine like terms: -18 + 270 = 252 36n = 252 Divide each side by '36'. n = 7 Simplifying n = 7
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