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Simplifying -3(n + 8) = 5 + -2n Reorder the terms: -3(8 + n) = 5 + -2n (8 * -3 + n * -3) = 5 + -2n (-24 + -3n) = 5 + -2n Solving -24 + -3n = 5 + -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 = 5 + -2n + 2n Combine like terms: -3n + 2n = -1n -24 + -1n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 -24 + -1n = 5 + 0 -24 + -1n = 5 Add '24' to each side of the equation. -24 + 24 + -1n = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -1n = 5 + 24 -1n = 5 + 24 Combine like terms: 5 + 24 = 29 -1n = 29 Divide each side by '-1'. n = -29 Simplifying n = -29
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