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Simplifying 144 = -6(1 + 4n) + -6n 144 = (1 * -6 + 4n * -6) + -6n 144 = (-6 + -24n) + -6n Combine like terms: -24n + -6n = -30n 144 = -6 + -30n Solving 144 = -6 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 144 + 30n = -6 + -30n + 30n Combine like terms: -30n + 30n = 0 144 + 30n = -6 + 0 144 + 30n = -6 Add '-144' to each side of the equation. 144 + -144 + 30n = -6 + -144 Combine like terms: 144 + -144 = 0 0 + 30n = -6 + -144 30n = -6 + -144 Combine like terms: -6 + -144 = -150 30n = -150 Divide each side by '30'. n = -5 Simplifying n = -5
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