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Simplifying 8k + -1(5k + -12) = 0 Reorder the terms: 8k + -1(-12 + 5k) = 0 8k + (-12 * -1 + 5k * -1) = 0 8k + (12 + -5k) = 0 Reorder the terms: 12 + 8k + -5k = 0 Combine like terms: 8k + -5k = 3k 12 + 3k = 0 Solving 12 + 3k = 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 + 3k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 0 + -12 3k = 0 + -12 Combine like terms: 0 + -12 = -12 3k = -12 Divide each side by '3'. k = -4 Simplifying k = -4
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