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Simplifying 8k + -5[-5k + 3] = 0 Reorder the terms: 8k + -5[3 + -5k] = 0 8k + [3 * -5 + -5k * -5] = 0 8k + [-15 + 25k] = 0 Reorder the terms: -15 + 8k + 25k = 0 Combine like terms: 8k + 25k = 33k -15 + 33k = 0 Solving -15 + 33k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 33k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 33k = 0 + 15 33k = 0 + 15 Combine like terms: 0 + 15 = 15 33k = 15 Divide each side by '33'. k = 0.4545454545 Simplifying k = 0.4545454545
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