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Simplifying 5r + 9s + -5(8r + -2s) = 0 5r + 9s + (8r * -5 + -2s * -5) = 0 5r + 9s + (-40r + 10s) = 0 Reorder the terms: 5r + -40r + 9s + 10s = 0 Combine like terms: 5r + -40r = -35r -35r + 9s + 10s = 0 Combine like terms: 9s + 10s = 19s -35r + 19s = 0 Solving -35r + 19s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19s' to each side of the equation. -35r + 19s + -19s = 0 + -19s Combine like terms: 19s + -19s = 0 -35r + 0 = 0 + -19s -35r = 0 + -19s Remove the zero: -35r = -19s Divide each side by '-35'. r = 0.5428571429s Simplifying r = 0.5428571429s
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