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Simplifying 8(3s + 2t) + 6(2s + -3t) = 0 (3s * 8 + 2t * 8) + 6(2s + -3t) = 0 (24s + 16t) + 6(2s + -3t) = 0 24s + 16t + (2s * 6 + -3t * 6) = 0 24s + 16t + (12s + -18t) = 0 Reorder the terms: 24s + 12s + 16t + -18t = 0 Combine like terms: 24s + 12s = 36s 36s + 16t + -18t = 0 Combine like terms: 16t + -18t = -2t 36s + -2t = 0 Solving 36s + -2t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. 36s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 36s + 0 = 0 + 2t 36s = 0 + 2t Remove the zero: 36s = 2t Divide each side by '36'. s = 0.05555555556t Simplifying s = 0.05555555556t
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