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Simplifying 21 + 3(k + -4) = 2(k + 5) + -1k Reorder the terms: 21 + 3(-4 + k) = 2(k + 5) + -1k 21 + (-4 * 3 + k * 3) = 2(k + 5) + -1k 21 + (-12 + 3k) = 2(k + 5) + -1k Combine like terms: 21 + -12 = 9 9 + 3k = 2(k + 5) + -1k Reorder the terms: 9 + 3k = 2(5 + k) + -1k 9 + 3k = (5 * 2 + k * 2) + -1k 9 + 3k = (10 + 2k) + -1k Combine like terms: 2k + -1k = 1k 9 + 3k = 10 + 1k Solving 9 + 3k = 10 + 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. 9 + 3k + -1k = 10 + 1k + -1k Combine like terms: 3k + -1k = 2k 9 + 2k = 10 + 1k + -1k Combine like terms: 1k + -1k = 0 9 + 2k = 10 + 0 9 + 2k = 10 Add '-9' to each side of the equation. 9 + -9 + 2k = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 2k = 10 + -9 2k = 10 + -9 Combine like terms: 10 + -9 = 1 2k = 1 Divide each side by '2'. k = 0.5 Simplifying k = 0.5
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