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Simplifying 8r + s + -12r + 4s = 0 Reorder the terms: 8r + -12r + s + 4s = 0 Combine like terms: 8r + -12r = -4r -4r + s + 4s = 0 Combine like terms: s + 4s = 5s -4r + 5s = 0 Solving -4r + 5s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. -4r + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 -4r + 0 = 0 + -5s -4r = 0 + -5s Remove the zero: -4r = -5s Divide each side by '-4'. r = 1.25s Simplifying r = 1.25s
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