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Simplifying 5(k + -4) = 4(k + 6) Reorder the terms: 5(-4 + k) = 4(k + 6) (-4 * 5 + k * 5) = 4(k + 6) (-20 + 5k) = 4(k + 6) Reorder the terms: -20 + 5k = 4(6 + k) -20 + 5k = (6 * 4 + k * 4) -20 + 5k = (24 + 4k) Solving -20 + 5k = 24 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -20 + 5k + -4k = 24 + 4k + -4k Combine like terms: 5k + -4k = 1k -20 + 1k = 24 + 4k + -4k Combine like terms: 4k + -4k = 0 -20 + 1k = 24 + 0 -20 + 1k = 24 Add '20' to each side of the equation. -20 + 20 + 1k = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 1k = 24 + 20 1k = 24 + 20 Combine like terms: 24 + 20 = 44 1k = 44 Divide each side by '1'. k = 44 Simplifying k = 44
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