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Simplifying -258 = -6n + -8(1 + 3n) -258 = -6n + (1 * -8 + 3n * -8) -258 = -6n + (-8 + -24n) Reorder the terms: -258 = -8 + -6n + -24n Combine like terms: -6n + -24n = -30n -258 = -8 + -30n Solving -258 = -8 + -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. -258 + 30n = -8 + -30n + 30n Combine like terms: -30n + 30n = 0 -258 + 30n = -8 + 0 -258 + 30n = -8 Add '258' to each side of the equation. -258 + 258 + 30n = -8 + 258 Combine like terms: -258 + 258 = 0 0 + 30n = -8 + 258 30n = -8 + 258 Combine like terms: -8 + 258 = 250 30n = 250 Divide each side by '30'. n = 8.333333333 Simplifying n = 8.333333333
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