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Simplifying -5(-8k + -4) = 8k + -32 Reorder the terms: -5(-4 + -8k) = 8k + -32 (-4 * -5 + -8k * -5) = 8k + -32 (20 + 40k) = 8k + -32 Reorder the terms: 20 + 40k = -32 + 8k Solving 20 + 40k = -32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 20 + 40k + -8k = -32 + 8k + -8k Combine like terms: 40k + -8k = 32k 20 + 32k = -32 + 8k + -8k Combine like terms: 8k + -8k = 0 20 + 32k = -32 + 0 20 + 32k = -32 Add '-20' to each side of the equation. 20 + -20 + 32k = -32 + -20 Combine like terms: 20 + -20 = 0 0 + 32k = -32 + -20 32k = -32 + -20 Combine like terms: -32 + -20 = -52 32k = -52 Divide each side by '32'. k = -1.625 Simplifying k = -1.625
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