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Simplifying -7(-7k + 2) = -14 + -2k Reorder the terms: -7(2 + -7k) = -14 + -2k (2 * -7 + -7k * -7) = -14 + -2k (-14 + 49k) = -14 + -2k Add '14' to each side of the equation. -14 + 14 + 49k = -14 + 14 + -2k Combine like terms: -14 + 14 = 0 0 + 49k = -14 + 14 + -2k 49k = -14 + 14 + -2k Combine like terms: -14 + 14 = 0 49k = 0 + -2k 49k = -2k Solving 49k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 49k + 2k = -2k + 2k Combine like terms: 49k + 2k = 51k 51k = -2k + 2k Combine like terms: -2k + 2k = 0 51k = 0 Divide each side by '51'. k = 0 Simplifying k = 0
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