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Simplifying 8 + -1(2k + 2) = -26 + -6k Reorder the terms: 8 + -1(2 + 2k) = -26 + -6k 8 + (2 * -1 + 2k * -1) = -26 + -6k 8 + (-2 + -2k) = -26 + -6k Combine like terms: 8 + -2 = 6 6 + -2k = -26 + -6k Solving 6 + -2k = -26 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 6 + -2k + 6k = -26 + -6k + 6k Combine like terms: -2k + 6k = 4k 6 + 4k = -26 + -6k + 6k Combine like terms: -6k + 6k = 0 6 + 4k = -26 + 0 6 + 4k = -26 Add '-6' to each side of the equation. 6 + -6 + 4k = -26 + -6 Combine like terms: 6 + -6 = 0 0 + 4k = -26 + -6 4k = -26 + -6 Combine like terms: -26 + -6 = -32 4k = -32 Divide each side by '4'. k = -8 Simplifying k = -8
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