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Simplifying 4(k + -5) + -1(5 + 8k) = -5k Reorder the terms: 4(-5 + k) + -1(5 + 8k) = -5k (-5 * 4 + k * 4) + -1(5 + 8k) = -5k (-20 + 4k) + -1(5 + 8k) = -5k -20 + 4k + (5 * -1 + 8k * -1) = -5k -20 + 4k + (-5 + -8k) = -5k Reorder the terms: -20 + -5 + 4k + -8k = -5k Combine like terms: -20 + -5 = -25 -25 + 4k + -8k = -5k Combine like terms: 4k + -8k = -4k -25 + -4k = -5k Solving -25 + -4k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -25 + -4k + 5k = -5k + 5k Combine like terms: -4k + 5k = 1k -25 + 1k = -5k + 5k Combine like terms: -5k + 5k = 0 -25 + 1k = 0 Add '25' to each side of the equation. -25 + 25 + 1k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1k = 0 + 25 1k = 0 + 25 Combine like terms: 0 + 25 = 25 1k = 25 Divide each side by '1'. k = 25 Simplifying k = 25
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