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Simplifying 3(n + -8) = 14 + -30n Reorder the terms: 3(-8 + n) = 14 + -30n (-8 * 3 + n * 3) = 14 + -30n (-24 + 3n) = 14 + -30n Solving -24 + 3n = 14 + -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. -24 + 3n + 30n = 14 + -30n + 30n Combine like terms: 3n + 30n = 33n -24 + 33n = 14 + -30n + 30n Combine like terms: -30n + 30n = 0 -24 + 33n = 14 + 0 -24 + 33n = 14 Add '24' to each side of the equation. -24 + 24 + 33n = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 33n = 14 + 24 33n = 14 + 24 Combine like terms: 14 + 24 = 38 33n = 38 Divide each side by '33'. n = 1.151515152 Simplifying n = 1.151515152
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