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Simplifying 4(-1k + -5) = -9k Reorder the terms: 4(-5 + -1k) = -9k (-5 * 4 + -1k * 4) = -9k (-20 + -4k) = -9k Solving -20 + -4k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -20 + -4k + 9k = -9k + 9k Combine like terms: -4k + 9k = 5k -20 + 5k = -9k + 9k Combine like terms: -9k + 9k = 0 -20 + 5k = 0 Add '20' to each side of the equation. -20 + 20 + 5k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5k = 0 + 20 5k = 0 + 20 Combine like terms: 0 + 20 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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