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Simplifying -8(4n + -1) = 8 + n Reorder the terms: -8(-1 + 4n) = 8 + n (-1 * -8 + 4n * -8) = 8 + n (8 + -32n) = 8 + n Add '-8' to each side of the equation. 8 + -8 + -32n = 8 + -8 + n Combine like terms: 8 + -8 = 0 0 + -32n = 8 + -8 + n -32n = 8 + -8 + n Combine like terms: 8 + -8 = 0 -32n = 0 + n -32n = n Solving -32n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -32n + -1n = n + -1n Combine like terms: -32n + -1n = -33n -33n = n + -1n Combine like terms: n + -1n = 0 -33n = 0 Divide each side by '-33'. n = 0 Simplifying n = 0
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