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Simplifying 9r + 4s + -7(5r + -6s) = 0 9r + 4s + (5r * -7 + -6s * -7) = 0 9r + 4s + (-35r + 42s) = 0 Reorder the terms: 9r + -35r + 4s + 42s = 0 Combine like terms: 9r + -35r = -26r -26r + 4s + 42s = 0 Combine like terms: 4s + 42s = 46s -26r + 46s = 0 Solving -26r + 46s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-46s' to each side of the equation. -26r + 46s + -46s = 0 + -46s Combine like terms: 46s + -46s = 0 -26r + 0 = 0 + -46s -26r = 0 + -46s Remove the zero: -26r = -46s Divide each side by '-26'. r = 1.769230769s Simplifying r = 1.769230769s
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