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