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Simplifying 9r + 5s + -5(8r + -4s) = 0 9r + 5s + (8r * -5 + -4s * -5) = 0 9r + 5s + (-40r + 20s) = 0 Reorder the terms: 9r + -40r + 5s + 20s = 0 Combine like terms: 9r + -40r = -31r -31r + 5s + 20s = 0 Combine like terms: 5s + 20s = 25s -31r + 25s = 0 Solving -31r + 25s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25s' to each side of the equation. -31r + 25s + -25s = 0 + -25s Combine like terms: 25s + -25s = 0 -31r + 0 = 0 + -25s -31r = 0 + -25s Remove the zero: -31r = -25s Divide each side by '-31'. r = 0.8064516129s Simplifying r = 0.8064516129s
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