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Simplifying -5(-5 + 8k) + -2k = 0 (-5 * -5 + 8k * -5) + -2k = 0 (25 + -40k) + -2k = 0 Combine like terms: -40k + -2k = -42k 25 + -42k = 0 Solving 25 + -42k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -42k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -42k = 0 + -25 -42k = 0 + -25 Combine like terms: 0 + -25 = -25 -42k = -25 Divide each side by '-42'. k = 0.5952380952 Simplifying k = 0.5952380952
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