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Simplifying 2(6k + -4) = -32 + 8k Reorder the terms: 2(-4 + 6k) = -32 + 8k (-4 * 2 + 6k * 2) = -32 + 8k (-8 + 12k) = -32 + 8k Solving -8 + 12k = -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. -8 + 12k + -8k = -32 + 8k + -8k Combine like terms: 12k + -8k = 4k -8 + 4k = -32 + 8k + -8k Combine like terms: 8k + -8k = 0 -8 + 4k = -32 + 0 -8 + 4k = -32 Add '8' to each side of the equation. -8 + 8 + 4k = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 4k = -32 + 8 4k = -32 + 8 Combine like terms: -32 + 8 = -24 4k = -24 Divide each side by '4'. k = -6 Simplifying k = -6
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