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Simplifying 5k + -3(9 + -8k) + 5 + -3 = 0 5k + (9 * -3 + -8k * -3) + 5 + -3 = 0 5k + (-27 + 24k) + 5 + -3 = 0 Reorder the terms: -27 + 5 + -3 + 5k + 24k = 0 Combine like terms: -27 + 5 = -22 -22 + -3 + 5k + 24k = 0 Combine like terms: -22 + -3 = -25 -25 + 5k + 24k = 0 Combine like terms: 5k + 24k = 29k -25 + 29k = 0 Solving -25 + 29k = 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 + 29k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 29k = 0 + 25 29k = 0 + 25 Combine like terms: 0 + 25 = 25 29k = 25 Divide each side by '29'. k = 0.8620689655 Simplifying k = 0.8620689655
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