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