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Simplifying 27 + 3n = -6(1 + -6n) 27 + 3n = (1 * -6 + -6n * -6) 27 + 3n = (-6 + 36n) Solving 27 + 3n = -6 + 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. 27 + 3n + -36n = -6 + 36n + -36n Combine like terms: 3n + -36n = -33n 27 + -33n = -6 + 36n + -36n Combine like terms: 36n + -36n = 0 27 + -33n = -6 + 0 27 + -33n = -6 Add '-27' to each side of the equation. 27 + -27 + -33n = -6 + -27 Combine like terms: 27 + -27 = 0 0 + -33n = -6 + -27 -33n = -6 + -27 Combine like terms: -6 + -27 = -33 -33n = -33 Divide each side by '-33'. n = 1 Simplifying n = 1
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