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Simplifying 12r + s + -16r + 5s = 0 Reorder the terms: 12r + -16r + s + 5s = 0 Combine like terms: 12r + -16r = -4r -4r + s + 5s = 0 Combine like terms: s + 5s = 6s -4r + 6s = 0 Solving -4r + 6s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6s' to each side of the equation. -4r + 6s + -6s = 0 + -6s Combine like terms: 6s + -6s = 0 -4r + 0 = 0 + -6s -4r = 0 + -6s Remove the zero: -4r = -6s Divide each side by '-4'. r = 1.5s Simplifying r = 1.5s
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