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Simplifying 2r + 5s + -7(9r + -3s) = 0 2r + 5s + (9r * -7 + -3s * -7) = 0 2r + 5s + (-63r + 21s) = 0 Reorder the terms: 2r + -63r + 5s + 21s = 0 Combine like terms: 2r + -63r = -61r -61r + 5s + 21s = 0 Combine like terms: 5s + 21s = 26s -61r + 26s = 0 Solving -61r + 26s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26s' to each side of the equation. -61r + 26s + -26s = 0 + -26s Combine like terms: 26s + -26s = 0 -61r + 0 = 0 + -26s -61r = 0 + -26s Remove the zero: -61r = -26s Divide each side by '-61'. r = 0.4262295082s Simplifying r = 0.4262295082s
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