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Simplifying -7(-1k + 2) = 3(2k + -5) + -3 Reorder the terms: -7(2 + -1k) = 3(2k + -5) + -3 (2 * -7 + -1k * -7) = 3(2k + -5) + -3 (-14 + 7k) = 3(2k + -5) + -3 Reorder the terms: -14 + 7k = 3(-5 + 2k) + -3 -14 + 7k = (-5 * 3 + 2k * 3) + -3 -14 + 7k = (-15 + 6k) + -3 Reorder the terms: -14 + 7k = -15 + -3 + 6k Combine like terms: -15 + -3 = -18 -14 + 7k = -18 + 6k Solving -14 + 7k = -18 + 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. -14 + 7k + -6k = -18 + 6k + -6k Combine like terms: 7k + -6k = 1k -14 + 1k = -18 + 6k + -6k Combine like terms: 6k + -6k = 0 -14 + 1k = -18 + 0 -14 + 1k = -18 Add '14' to each side of the equation. -14 + 14 + 1k = -18 + 14 Combine like terms: -14 + 14 = 0 0 + 1k = -18 + 14 1k = -18 + 14 Combine like terms: -18 + 14 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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