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Simplifying 3s + 6S + 5r + -2s = 0 Reorder the terms: 6S + 5r + 3s + -2s = 0 Combine like terms: 3s + -2s = 1s 6S + 5r + 1s = 0 Solving 6S + 5r + 1s = 0 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-5r' to each side of the equation. 6S + 5r + -5r + 1s = 0 + -5r Combine like terms: 5r + -5r = 0 6S + 0 + 1s = 0 + -5r 6S + 1s = 0 + -5r Remove the zero: 6S + 1s = -5r Add '-1s' to each side of the equation. 6S + 1s + -1s = -5r + -1s Combine like terms: 1s + -1s = 0 6S + 0 = -5r + -1s 6S = -5r + -1s Divide each side by '6'. S = -0.8333333333r + -0.1666666667s Simplifying S = -0.8333333333r + -0.1666666667s
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