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Simplifying 7r + 8s + -2(6r + -9s) = 0 7r + 8s + (6r * -2 + -9s * -2) = 0 7r + 8s + (-12r + 18s) = 0 Reorder the terms: 7r + -12r + 8s + 18s = 0 Combine like terms: 7r + -12r = -5r -5r + 8s + 18s = 0 Combine like terms: 8s + 18s = 26s -5r + 26s = 0 Solving -5r + 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. -5r + 26s + -26s = 0 + -26s Combine like terms: 26s + -26s = 0 -5r + 0 = 0 + -26s -5r = 0 + -26s Remove the zero: -5r = -26s Divide each side by '-5'. r = 5.2s Simplifying r = 5.2s
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