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Simplifying 162 = -6(1 + -4n) 162 = (1 * -6 + -4n * -6) 162 = (-6 + 24n) Solving 162 = -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. 162 + -24n = -6 + 24n + -24n Combine like terms: 24n + -24n = 0 162 + -24n = -6 + 0 162 + -24n = -6 Add '-162' to each side of the equation. 162 + -162 + -24n = -6 + -162 Combine like terms: 162 + -162 = 0 0 + -24n = -6 + -162 -24n = -6 + -162 Combine like terms: -6 + -162 = -168 -24n = -168 Divide each side by '-24'. n = 7 Simplifying n = 7
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