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Simplifying 8(4k + -4) = -4k + -32 Reorder the terms: 8(-4 + 4k) = -4k + -32 (-4 * 8 + 4k * 8) = -4k + -32 (-32 + 32k) = -4k + -32 Reorder the terms: -32 + 32k = -32 + -4k Add '32' to each side of the equation. -32 + 32 + 32k = -32 + 32 + -4k Combine like terms: -32 + 32 = 0 0 + 32k = -32 + 32 + -4k 32k = -32 + 32 + -4k Combine like terms: -32 + 32 = 0 32k = 0 + -4k 32k = -4k Solving 32k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 32k + 4k = -4k + 4k Combine like terms: 32k + 4k = 36k 36k = -4k + 4k Combine like terms: -4k + 4k = 0 36k = 0 Divide each side by '36'. k = 0 Simplifying k = 0
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