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Simplifying 3n + 6(5n + 8) = 0 Reorder the terms: 3n + 6(8 + 5n) = 0 3n + (8 * 6 + 5n * 6) = 0 3n + (48 + 30n) = 0 Reorder the terms: 48 + 3n + 30n = 0 Combine like terms: 3n + 30n = 33n 48 + 33n = 0 Solving 48 + 33n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 33n = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 33n = 0 + -48 33n = 0 + -48 Combine like terms: 0 + -48 = -48 33n = -48 Divide each side by '33'. n = -1.454545455 Simplifying n = -1.454545455
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