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Simplifying 5k + -1(3 + k) = -1(5k + 3) 5k + (3 * -1 + k * -1) = -1(5k + 3) 5k + (-3 + -1k) = -1(5k + 3) Reorder the terms: -3 + 5k + -1k = -1(5k + 3) Combine like terms: 5k + -1k = 4k -3 + 4k = -1(5k + 3) Reorder the terms: -3 + 4k = -1(3 + 5k) -3 + 4k = (3 * -1 + 5k * -1) -3 + 4k = (-3 + -5k) Add '3' to each side of the equation. -3 + 3 + 4k = -3 + 3 + -5k Combine like terms: -3 + 3 = 0 0 + 4k = -3 + 3 + -5k 4k = -3 + 3 + -5k Combine like terms: -3 + 3 = 0 4k = 0 + -5k 4k = -5k Solving 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. 4k + 5k = -5k + 5k Combine like terms: 4k + 5k = 9k 9k = -5k + 5k Combine like terms: -5k + 5k = 0 9k = 0 Divide each side by '9'. k = 0 Simplifying k = 0
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