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Simplifying 5r + 8s + -2(3r + -6s) = 0 5r + 8s + (3r * -2 + -6s * -2) = 0 5r + 8s + (-6r + 12s) = 0 Reorder the terms: 5r + -6r + 8s + 12s = 0 Combine like terms: 5r + -6r = -1r -1r + 8s + 12s = 0 Combine like terms: 8s + 12s = 20s -1r + 20s = 0 Solving -1r + 20s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20s' to each side of the equation. -1r + 20s + -20s = 0 + -20s Combine like terms: 20s + -20s = 0 -1r + 0 = 0 + -20s -1r = 0 + -20s Remove the zero: -1r = -20s Divide each side by '-1'. r = 20s Simplifying r = 20s
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