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Simplifying 4k + 6(k + -1) = 21 + k Reorder the terms: 4k + 6(-1 + k) = 21 + k 4k + (-1 * 6 + k * 6) = 21 + k 4k + (-6 + 6k) = 21 + k Reorder the terms: -6 + 4k + 6k = 21 + k Combine like terms: 4k + 6k = 10k -6 + 10k = 21 + k Solving -6 + 10k = 21 + k 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. -6 + 10k + -1k = 21 + k + -1k Combine like terms: 10k + -1k = 9k -6 + 9k = 21 + k + -1k Combine like terms: k + -1k = 0 -6 + 9k = 21 + 0 -6 + 9k = 21 Add '6' to each side of the equation. -6 + 6 + 9k = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 9k = 21 + 6 9k = 21 + 6 Combine like terms: 21 + 6 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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