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Simplifying 5r + 7s + -9(2r + -4s) = 0 5r + 7s + (2r * -9 + -4s * -9) = 0 5r + 7s + (-18r + 36s) = 0 Reorder the terms: 5r + -18r + 7s + 36s = 0 Combine like terms: 5r + -18r = -13r -13r + 7s + 36s = 0 Combine like terms: 7s + 36s = 43s -13r + 43s = 0 Solving -13r + 43s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43s' to each side of the equation. -13r + 43s + -43s = 0 + -43s Combine like terms: 43s + -43s = 0 -13r + 0 = 0 + -43s -13r = 0 + -43s Remove the zero: -13r = -43s Divide each side by '-13'. r = 3.307692308s Simplifying r = 3.307692308s
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