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Simplifying 36 + 3n = -6(1 + -4n) 36 + 3n = (1 * -6 + -4n * -6) 36 + 3n = (-6 + 24n) Solving 36 + 3n = -6 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 36 + 3n + -24n = -6 + 24n + -24n Combine like terms: 3n + -24n = -21n 36 + -21n = -6 + 24n + -24n Combine like terms: 24n + -24n = 0 36 + -21n = -6 + 0 36 + -21n = -6 Add '-36' to each side of the equation. 36 + -36 + -21n = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -21n = -6 + -36 -21n = -6 + -36 Combine like terms: -6 + -36 = -42 -21n = -42 Divide each side by '-21'. n = 2 Simplifying n = 2
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