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Simplifying -2(-2 + 3k) = -10 + -8k (-2 * -2 + 3k * -2) = -10 + -8k (4 + -6k) = -10 + -8k Solving 4 + -6k = -10 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 4 + -6k + 8k = -10 + -8k + 8k Combine like terms: -6k + 8k = 2k 4 + 2k = -10 + -8k + 8k Combine like terms: -8k + 8k = 0 4 + 2k = -10 + 0 4 + 2k = -10 Add '-4' to each side of the equation. 4 + -4 + 2k = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = -10 + -4 2k = -10 + -4 Combine like terms: -10 + -4 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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