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Simplifying 20r + 5s + -7r + 9s = 0 Reorder the terms: 20r + -7r + 5s + 9s = 0 Combine like terms: 20r + -7r = 13r 13r + 5s + 9s = 0 Combine like terms: 5s + 9s = 14s 13r + 14s = 0 Solving 13r + 14s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14s' to each side of the equation. 13r + 14s + -14s = 0 + -14s Combine like terms: 14s + -14s = 0 13r + 0 = 0 + -14s 13r = 0 + -14s Remove the zero: 13r = -14s Divide each side by '13'. r = -1.076923077s Simplifying r = -1.076923077s
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