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Simplifying -6(r + -2s) + 3(2r + s) = 0 (r * -6 + -2s * -6) + 3(2r + s) = 0 (-6r + 12s) + 3(2r + s) = 0 -6r + 12s + (2r * 3 + s * 3) = 0 -6r + 12s + (6r + 3s) = 0 Reorder the terms: -6r + 6r + 12s + 3s = 0 Combine like terms: -6r + 6r = 0 0 + 12s + 3s = 0 12s + 3s = 0 Combine like terms: 12s + 3s = 15s 15s = 0 Solving 15s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Divide each side by '15'. s = 0 Simplifying s = 0
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