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Simplifying 5r + s + -7r + 10s = 0 Reorder the terms: 5r + -7r + s + 10s = 0 Combine like terms: 5r + -7r = -2r -2r + s + 10s = 0 Combine like terms: s + 10s = 11s -2r + 11s = 0 Solving -2r + 11s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11s' to each side of the equation. -2r + 11s + -11s = 0 + -11s Combine like terms: 11s + -11s = 0 -2r + 0 = 0 + -11s -2r = 0 + -11s Remove the zero: -2r = -11s Divide each side by '-2'. r = 5.5s Simplifying r = 5.5s
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