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Simplifying 24 = 3(2k + -2) + 4k Reorder the terms: 24 = 3(-2 + 2k) + 4k 24 = (-2 * 3 + 2k * 3) + 4k 24 = (-6 + 6k) + 4k Combine like terms: 6k + 4k = 10k 24 = -6 + 10k Solving 24 = -6 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 24 + -10k = -6 + 10k + -10k Combine like terms: 10k + -10k = 0 24 + -10k = -6 + 0 24 + -10k = -6 Add '-24' to each side of the equation. 24 + -24 + -10k = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -10k = -6 + -24 -10k = -6 + -24 Combine like terms: -6 + -24 = -30 -10k = -30 Divide each side by '-10'. k = 3 Simplifying k = 3
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