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Simplifying -3(k + -4) + 12 = -2k + 12 Reorder the terms: -3(-4 + k) + 12 = -2k + 12 (-4 * -3 + k * -3) + 12 = -2k + 12 (12 + -3k) + 12 = -2k + 12 Reorder the terms: 12 + 12 + -3k = -2k + 12 Combine like terms: 12 + 12 = 24 24 + -3k = -2k + 12 Reorder the terms: 24 + -3k = 12 + -2k Solving 24 + -3k = 12 + -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. 24 + -3k + 2k = 12 + -2k + 2k Combine like terms: -3k + 2k = -1k 24 + -1k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 24 + -1k = 12 + 0 24 + -1k = 12 Add '-24' to each side of the equation. 24 + -24 + -1k = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -1k = 12 + -24 -1k = 12 + -24 Combine like terms: 12 + -24 = -12 -1k = -12 Divide each side by '-1'. k = 12 Simplifying k = 12
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