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Simplifying -4k + -26 = -1(8 + k) Reorder the terms: -26 + -4k = -1(8 + k) -26 + -4k = (8 * -1 + k * -1) -26 + -4k = (-8 + -1k) Solving -26 + -4k = -8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -26 + -4k + k = -8 + -1k + k Combine like terms: -4k + k = -3k -26 + -3k = -8 + -1k + k Combine like terms: -1k + k = 0 -26 + -3k = -8 + 0 -26 + -3k = -8 Add '26' to each side of the equation. -26 + 26 + -3k = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -3k = -8 + 26 -3k = -8 + 26 Combine like terms: -8 + 26 = 18 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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