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