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Simplifying 8k + 9 + 5k + -3 = 0 Reorder the terms: 9 + -3 + 8k + 5k = 0 Combine like terms: 9 + -3 = 6 6 + 8k + 5k = 0 Combine like terms: 8k + 5k = 13k 6 + 13k = 0 Solving 6 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 13k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 13k = 0 + -6 13k = 0 + -6 Combine like terms: 0 + -6 = -6 13k = -6 Divide each side by '13'. k = -0.4615384615 Simplifying k = -0.4615384615
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