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Simplifying -5k + 6(k + -2) = -2k + -12 Reorder the terms: -5k + 6(-2 + k) = -2k + -12 -5k + (-2 * 6 + k * 6) = -2k + -12 -5k + (-12 + 6k) = -2k + -12 Reorder the terms: -12 + -5k + 6k = -2k + -12 Combine like terms: -5k + 6k = 1k -12 + 1k = -2k + -12 Reorder the terms: -12 + 1k = -12 + -2k Add '12' to each side of the equation. -12 + 12 + 1k = -12 + 12 + -2k Combine like terms: -12 + 12 = 0 0 + 1k = -12 + 12 + -2k 1k = -12 + 12 + -2k Combine like terms: -12 + 12 = 0 1k = 0 + -2k 1k = -2k Solving 1k = -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. 1k + 2k = -2k + 2k Combine like terms: 1k + 2k = 3k 3k = -2k + 2k Combine like terms: -2k + 2k = 0 3k = 0 Divide each side by '3'. k = 0 Simplifying k = 0
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