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Simplifying 13r + s + 20r + 11s = 0 Reorder the terms: 13r + 20r + s + 11s = 0 Combine like terms: 13r + 20r = 33r 33r + s + 11s = 0 Combine like terms: s + 11s = 12s 33r + 12s = 0 Solving 33r + 12s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12s' to each side of the equation. 33r + 12s + -12s = 0 + -12s Combine like terms: 12s + -12s = 0 33r + 0 = 0 + -12s 33r = 0 + -12s Remove the zero: 33r = -12s Divide each side by '33'. r = -0.3636363636s Simplifying r = -0.3636363636s
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