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Simplifying k = 3 + -1(3k + -5) Reorder the terms: k = 3 + -1(-5 + 3k) k = 3 + (-5 * -1 + 3k * -1) k = 3 + (5 + -3k) Combine like terms: 3 + 5 = 8 k = 8 + -3k Solving k = 8 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. k + 3k = 8 + -3k + 3k Combine like terms: k + 3k = 4k 4k = 8 + -3k + 3k Combine like terms: -3k + 3k = 0 4k = 8 + 0 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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