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Simplifying -3(n + 8) = 6 + 2n Reorder the terms: -3(8 + n) = 6 + 2n (8 * -3 + n * -3) = 6 + 2n (-24 + -3n) = 6 + 2n Solving -24 + -3n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -24 + -3n + -2n = 6 + 2n + -2n Combine like terms: -3n + -2n = -5n -24 + -5n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -24 + -5n = 6 + 0 -24 + -5n = 6 Add '24' to each side of the equation. -24 + 24 + -5n = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5n = 6 + 24 -5n = 6 + 24 Combine like terms: 6 + 24 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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