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Simplifying 6s + 2(t + 3s) + 5(s + 4t) = 0 Reorder the terms: 6s + 2(3s + t) + 5(s + 4t) = 0 6s + (3s * 2 + t * 2) + 5(s + 4t) = 0 6s + (6s + 2t) + 5(s + 4t) = 0 6s + 6s + 2t + (s * 5 + 4t * 5) = 0 6s + 6s + 2t + (5s + 20t) = 0 Reorder the terms: 6s + 6s + 5s + 2t + 20t = 0 Combine like terms: 6s + 6s = 12s 12s + 5s + 2t + 20t = 0 Combine like terms: 12s + 5s = 17s 17s + 2t + 20t = 0 Combine like terms: 2t + 20t = 22t 17s + 22t = 0 Solving 17s + 22t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-22t' to each side of the equation. 17s + 22t + -22t = 0 + -22t Combine like terms: 22t + -22t = 0 17s + 0 = 0 + -22t 17s = 0 + -22t Remove the zero: 17s = -22t Divide each side by '17'. s = -1.294117647t Simplifying s = -1.294117647t
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