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Simplifying 12 + -2k = 5k + -4(k + -6) Reorder the terms: 12 + -2k = 5k + -4(-6 + k) 12 + -2k = 5k + (-6 * -4 + k * -4) 12 + -2k = 5k + (24 + -4k) Reorder the terms: 12 + -2k = 24 + 5k + -4k Combine like terms: 5k + -4k = 1k 12 + -2k = 24 + 1k Solving 12 + -2k = 24 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 12 + -2k + -1k = 24 + 1k + -1k Combine like terms: -2k + -1k = -3k 12 + -3k = 24 + 1k + -1k Combine like terms: 1k + -1k = 0 12 + -3k = 24 + 0 12 + -3k = 24 Add '-12' to each side of the equation. 12 + -12 + -3k = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -3k = 24 + -12 -3k = 24 + -12 Combine like terms: 24 + -12 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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