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Simplifying 4(4 + 4k) = -32 + 8k (4 * 4 + 4k * 4) = -32 + 8k (16 + 16k) = -32 + 8k Solving 16 + 16k = -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. 16 + 16k + -8k = -32 + 8k + -8k Combine like terms: 16k + -8k = 8k 16 + 8k = -32 + 8k + -8k Combine like terms: 8k + -8k = 0 16 + 8k = -32 + 0 16 + 8k = -32 Add '-16' to each side of the equation. 16 + -16 + 8k = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 8k = -32 + -16 8k = -32 + -16 Combine like terms: -32 + -16 = -48 8k = -48 Divide each side by '8'. k = -6 Simplifying k = -6
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