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Simplifying 12r + s + 18r + 19s = 0 Reorder the terms: 12r + 18r + s + 19s = 0 Combine like terms: 12r + 18r = 30r 30r + s + 19s = 0 Combine like terms: s + 19s = 20s 30r + 20s = 0 Solving 30r + 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. 30r + 20s + -20s = 0 + -20s Combine like terms: 20s + -20s = 0 30r + 0 = 0 + -20s 30r = 0 + -20s Remove the zero: 30r = -20s Divide each side by '30'. r = -0.6666666667s Simplifying r = -0.6666666667s
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