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Simplifying 6(k + -4) = 4 + -2k Reorder the terms: 6(-4 + k) = 4 + -2k (-4 * 6 + k * 6) = 4 + -2k (-24 + 6k) = 4 + -2k Solving -24 + 6k = 4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -24 + 6k + 2k = 4 + -2k + 2k Combine like terms: 6k + 2k = 8k -24 + 8k = 4 + -2k + 2k Combine like terms: -2k + 2k = 0 -24 + 8k = 4 + 0 -24 + 8k = 4 Add '24' to each side of the equation. -24 + 24 + 8k = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 8k = 4 + 24 8k = 4 + 24 Combine like terms: 4 + 24 = 28 8k = 28 Divide each side by '8'. k = 3.5 Simplifying k = 3.5
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