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Simplifying 8k + -1(4k + -12) = 0 Reorder the terms: 8k + -1(-12 + 4k) = 0 8k + (-12 * -1 + 4k * -1) = 0 8k + (12 + -4k) = 0 Reorder the terms: 12 + 8k + -4k = 0 Combine like terms: 8k + -4k = 4k 12 + 4k = 0 Solving 12 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4k = 0 + -12 4k = 0 + -12 Combine like terms: 0 + -12 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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