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Simplifying 12k + -4(k + 6) = 64 Reorder the terms: 12k + -4(6 + k) = 64 12k + (6 * -4 + k * -4) = 64 12k + (-24 + -4k) = 64 Reorder the terms: -24 + 12k + -4k = 64 Combine like terms: 12k + -4k = 8k -24 + 8k = 64 Solving -24 + 8k = 64 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 8k = 64 + 24 Combine like terms: -24 + 24 = 0 0 + 8k = 64 + 24 8k = 64 + 24 Combine like terms: 64 + 24 = 88 8k = 88 Divide each side by '8'. k = 11 Simplifying k = 11
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