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Simplifying 12 + -1k = 3(k + 8) Reorder the terms: 12 + -1k = 3(8 + k) 12 + -1k = (8 * 3 + k * 3) 12 + -1k = (24 + 3k) Solving 12 + -1k = 24 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 12 + -1k + -3k = 24 + 3k + -3k Combine like terms: -1k + -3k = -4k 12 + -4k = 24 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + -4k = 24 + 0 12 + -4k = 24 Add '-12' to each side of the equation. 12 + -12 + -4k = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4k = 24 + -12 -4k = 24 + -12 Combine like terms: 24 + -12 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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