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Simplifying -8(3k + 4) = 32 + 8k Reorder the terms: -8(4 + 3k) = 32 + 8k (4 * -8 + 3k * -8) = 32 + 8k (-32 + -24k) = 32 + 8k Solving -32 + -24k = 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. -32 + -24k + -8k = 32 + 8k + -8k Combine like terms: -24k + -8k = -32k -32 + -32k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 -32 + -32k = 32 + 0 -32 + -32k = 32 Add '32' to each side of the equation. -32 + 32 + -32k = 32 + 32 Combine like terms: -32 + 32 = 0 0 + -32k = 32 + 32 -32k = 32 + 32 Combine like terms: 32 + 32 = 64 -32k = 64 Divide each side by '-32'. k = -2 Simplifying k = -2
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