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Simplifying 6r + s + -14r + 19s = 0 Reorder the terms: 6r + -14r + s + 19s = 0 Combine like terms: 6r + -14r = -8r -8r + s + 19s = 0 Combine like terms: s + 19s = 20s -8r + 20s = 0 Solving -8r + 20s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20s' to each side of the equation. -8r + 20s + -20s = 0 + -20s Combine like terms: 20s + -20s = 0 -8r + 0 = 0 + -20s -8r = 0 + -20s Remove the zero: -8r = -20s Divide each side by '-8'. r = 2.5s Simplifying r = 2.5s
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