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Simplifying 8(4k + -4) = -5 + -32n Reorder the terms: 8(-4 + 4k) = -5 + -32n (-4 * 8 + 4k * 8) = -5 + -32n (-32 + 32k) = -5 + -32n Solving -32 + 32k = -5 + -32n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 32k = -5 + 32 + -32n Combine like terms: -32 + 32 = 0 0 + 32k = -5 + 32 + -32n 32k = -5 + 32 + -32n Combine like terms: -5 + 32 = 27 32k = 27 + -32n Divide each side by '32'. k = 0.84375 + -1n Simplifying k = 0.84375 + -1n
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