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Simplifying -8(4n + 4) = -5 + -5n Reorder the terms: -8(4 + 4n) = -5 + -5n (4 * -8 + 4n * -8) = -5 + -5n (-32 + -32n) = -5 + -5n Solving -32 + -32n = -5 + -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. -32 + -32n + 5n = -5 + -5n + 5n Combine like terms: -32n + 5n = -27n -32 + -27n = -5 + -5n + 5n Combine like terms: -5n + 5n = 0 -32 + -27n = -5 + 0 -32 + -27n = -5 Add '32' to each side of the equation. -32 + 32 + -27n = -5 + 32 Combine like terms: -32 + 32 = 0 0 + -27n = -5 + 32 -27n = -5 + 32 Combine like terms: -5 + 32 = 27 -27n = 27 Divide each side by '-27'. n = -1 Simplifying n = -1
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