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Simplifying -8k + -4(k + 2) = -26 + 6k Reorder the terms: -8k + -4(2 + k) = -26 + 6k -8k + (2 * -4 + k * -4) = -26 + 6k -8k + (-8 + -4k) = -26 + 6k Reorder the terms: -8 + -8k + -4k = -26 + 6k Combine like terms: -8k + -4k = -12k -8 + -12k = -26 + 6k Solving -8 + -12k = -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. -8 + -12k + -6k = -26 + 6k + -6k Combine like terms: -12k + -6k = -18k -8 + -18k = -26 + 6k + -6k Combine like terms: 6k + -6k = 0 -8 + -18k = -26 + 0 -8 + -18k = -26 Add '8' to each side of the equation. -8 + 8 + -18k = -26 + 8 Combine like terms: -8 + 8 = 0 0 + -18k = -26 + 8 -18k = -26 + 8 Combine like terms: -26 + 8 = -18 -18k = -18 Divide each side by '-18'. k = 1 Simplifying k = 1
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