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Simplifying -2(5k + 7) = -4 + -8k Reorder the terms: -2(7 + 5k) = -4 + -8k (7 * -2 + 5k * -2) = -4 + -8k (-14 + -10k) = -4 + -8k Solving -14 + -10k = -4 + -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. -14 + -10k + 8k = -4 + -8k + 8k Combine like terms: -10k + 8k = -2k -14 + -2k = -4 + -8k + 8k Combine like terms: -8k + 8k = 0 -14 + -2k = -4 + 0 -14 + -2k = -4 Add '14' to each side of the equation. -14 + 14 + -2k = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = -4 + 14 -2k = -4 + 14 Combine like terms: -4 + 14 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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