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Simplifying 5r + 8k + -2r = 0 Reorder the terms: 8k + 5r + -2r = 0 Combine like terms: 5r + -2r = 3r 8k + 3r = 0 Solving 8k + 3r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3r' to each side of the equation. 8k + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 8k + 0 = 0 + -3r 8k = 0 + -3r Remove the zero: 8k = -3r Divide each side by '8'. k = -0.375r Simplifying k = -0.375r
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