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Simplifying 6(2s + t) + -1(3s + -2t) = 0 (2s * 6 + t * 6) + -1(3s + -2t) = 0 (12s + 6t) + -1(3s + -2t) = 0 12s + 6t + (3s * -1 + -2t * -1) = 0 12s + 6t + (-3s + 2t) = 0 Reorder the terms: 12s + -3s + 6t + 2t = 0 Combine like terms: 12s + -3s = 9s 9s + 6t + 2t = 0 Combine like terms: 6t + 2t = 8t 9s + 8t = 0 Solving 9s + 8t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-8t' to each side of the equation. 9s + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 9s + 0 = 0 + -8t 9s = 0 + -8t Remove the zero: 9s = -8t Divide each side by '9'. s = -0.8888888889t Simplifying s = -0.8888888889t
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