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Simplifying 186 = -6(1 + -4n) 186 = (1 * -6 + -4n * -6) 186 = (-6 + 24n) Solving 186 = -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. 186 + -24n = -6 + 24n + -24n Combine like terms: 24n + -24n = 0 186 + -24n = -6 + 0 186 + -24n = -6 Add '-186' to each side of the equation. 186 + -186 + -24n = -6 + -186 Combine like terms: 186 + -186 = 0 0 + -24n = -6 + -186 -24n = -6 + -186 Combine like terms: -6 + -186 = -192 -24n = -192 Divide each side by '-24'. n = 8 Simplifying n = 8
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