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Simplifying 4 + -4(k + -5) = 2(2 + -1k) * 6 Reorder the terms: 4 + -4(-5 + k) = 2(2 + -1k) * 6 4 + (-5 * -4 + k * -4) = 2(2 + -1k) * 6 4 + (20 + -4k) = 2(2 + -1k) * 6 Combine like terms: 4 + 20 = 24 24 + -4k = 2(2 + -1k) * 6 Reorder the terms for easier multiplication: 24 + -4k = 2 * 6(2 + -1k) Multiply 2 * 6 24 + -4k = 12(2 + -1k) 24 + -4k = (2 * 12 + -1k * 12) 24 + -4k = (24 + -12k) Add '-24' to each side of the equation. 24 + -24 + -4k = 24 + -24 + -12k Combine like terms: 24 + -24 = 0 0 + -4k = 24 + -24 + -12k -4k = 24 + -24 + -12k Combine like terms: 24 + -24 = 0 -4k = 0 + -12k -4k = -12k Solving -4k = -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -4k + 12k = -12k + 12k Combine like terms: -4k + 12k = 8k 8k = -12k + 12k Combine like terms: -12k + 12k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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