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Simplifying 5r + s + -13r + 18s = 0 Reorder the terms: 5r + -13r + s + 18s = 0 Combine like terms: 5r + -13r = -8r -8r + s + 18s = 0 Combine like terms: s + 18s = 19s -8r + 19s = 0 Solving -8r + 19s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19s' to each side of the equation. -8r + 19s + -19s = 0 + -19s Combine like terms: 19s + -19s = 0 -8r + 0 = 0 + -19s -8r = 0 + -19s Remove the zero: -8r = -19s Divide each side by '-8'. r = 2.375s Simplifying r = 2.375s
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