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