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Simplifying 10r + -14s + -7r + 18s = 0 Reorder the terms: 10r + -7r + -14s + 18s = 0 Combine like terms: 10r + -7r = 3r 3r + -14s + 18s = 0 Combine like terms: -14s + 18s = 4s 3r + 4s = 0 Solving 3r + 4s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4s' to each side of the equation. 3r + 4s + -4s = 0 + -4s Combine like terms: 4s + -4s = 0 3r + 0 = 0 + -4s 3r = 0 + -4s Remove the zero: 3r = -4s Divide each side by '3'. r = -1.333333333s Simplifying r = -1.333333333s
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