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