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Simplifying 5r + -7s + 8r + -11s = 0 Reorder the terms: 5r + 8r + -7s + -11s = 0 Combine like terms: 5r + 8r = 13r 13r + -7s + -11s = 0 Combine like terms: -7s + -11s = -18s 13r + -18s = 0 Solving 13r + -18s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18s' to each side of the equation. 13r + -18s + 18s = 0 + 18s Combine like terms: -18s + 18s = 0 13r + 0 = 0 + 18s 13r = 0 + 18s Remove the zero: 13r = 18s Divide each side by '13'. r = 1.384615385s Simplifying r = 1.384615385s
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