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Simplifying -8(4n + 3) = 30 + -5n Reorder the terms: -8(3 + 4n) = 30 + -5n (3 * -8 + 4n * -8) = 30 + -5n (-24 + -32n) = 30 + -5n Solving -24 + -32n = 30 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -24 + -32n + 5n = 30 + -5n + 5n Combine like terms: -32n + 5n = -27n -24 + -27n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 -24 + -27n = 30 + 0 -24 + -27n = 30 Add '24' to each side of the equation. -24 + 24 + -27n = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -27n = 30 + 24 -27n = 30 + 24 Combine like terms: 30 + 24 = 54 -27n = 54 Divide each side by '-27'. n = -2 Simplifying n = -2
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