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Simplifying 8r + 3s + -2(5r + -3s) = 0 8r + 3s + (5r * -2 + -3s * -2) = 0 8r + 3s + (-10r + 6s) = 0 Reorder the terms: 8r + -10r + 3s + 6s = 0 Combine like terms: 8r + -10r = -2r -2r + 3s + 6s = 0 Combine like terms: 3s + 6s = 9s -2r + 9s = 0 Solving -2r + 9s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. -2r + 9s + -9s = 0 + -9s Combine like terms: 9s + -9s = 0 -2r + 0 = 0 + -9s -2r = 0 + -9s Remove the zero: -2r = -9s Divide each side by '-2'. r = 4.5s Simplifying r = 4.5s
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