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Simplifying 4r + s + -14r + 14s = 0 Reorder the terms: 4r + -14r + s + 14s = 0 Combine like terms: 4r + -14r = -10r -10r + s + 14s = 0 Combine like terms: s + 14s = 15s -10r + 15s = 0 Solving -10r + 15s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15s' to each side of the equation. -10r + 15s + -15s = 0 + -15s Combine like terms: 15s + -15s = 0 -10r + 0 = 0 + -15s -10r = 0 + -15s Remove the zero: -10r = -15s Divide each side by '-10'. r = 1.5s Simplifying r = 1.5s
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