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Simplifying 4(k + -1) = 21 + -1k Reorder the terms: 4(-1 + k) = 21 + -1k (-1 * 4 + k * 4) = 21 + -1k (-4 + 4k) = 21 + -1k Solving -4 + 4k = 21 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -4 + 4k + k = 21 + -1k + k Combine like terms: 4k + k = 5k -4 + 5k = 21 + -1k + k Combine like terms: -1k + k = 0 -4 + 5k = 21 + 0 -4 + 5k = 21 Add '4' to each side of the equation. -4 + 4 + 5k = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5k = 21 + 4 5k = 21 + 4 Combine like terms: 21 + 4 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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