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Simplifying 5k + -1(5 + k) = -1(4k + 5) 5k + (5 * -1 + k * -1) = -1(4k + 5) 5k + (-5 + -1k) = -1(4k + 5) Reorder the terms: -5 + 5k + -1k = -1(4k + 5) Combine like terms: 5k + -1k = 4k -5 + 4k = -1(4k + 5) Reorder the terms: -5 + 4k = -1(5 + 4k) -5 + 4k = (5 * -1 + 4k * -1) -5 + 4k = (-5 + -4k) Add '5' to each side of the equation. -5 + 5 + 4k = -5 + 5 + -4k Combine like terms: -5 + 5 = 0 0 + 4k = -5 + 5 + -4k 4k = -5 + 5 + -4k Combine like terms: -5 + 5 = 0 4k = 0 + -4k 4k = -4k Solving 4k = -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. 4k + 4k = -4k + 4k Combine like terms: 4k + 4k = 8k 8k = -4k + 4k Combine like terms: -4k + 4k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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