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Simplifying 2k + -1(8k + 4) = -2 + 6 Reorder the terms: 2k + -1(4 + 8k) = -2 + 6 2k + (4 * -1 + 8k * -1) = -2 + 6 2k + (-4 + -8k) = -2 + 6 Reorder the terms: -4 + 2k + -8k = -2 + 6 Combine like terms: 2k + -8k = -6k -4 + -6k = -2 + 6 Combine like terms: -2 + 6 = 4 -4 + -6k = 4 Solving -4 + -6k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -6k = 4 + 4 -6k = 4 + 4 Combine like terms: 4 + 4 = 8 -6k = 8 Divide each side by '-6'. k = -1.333333333 Simplifying k = -1.333333333
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