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Simplifying 5(s + 2t) + 2(3s + -1t) = 0 (s * 5 + 2t * 5) + 2(3s + -1t) = 0 (5s + 10t) + 2(3s + -1t) = 0 5s + 10t + (3s * 2 + -1t * 2) = 0 5s + 10t + (6s + -2t) = 0 Reorder the terms: 5s + 6s + 10t + -2t = 0 Combine like terms: 5s + 6s = 11s 11s + 10t + -2t = 0 Combine like terms: 10t + -2t = 8t 11s + 8t = 0 Solving 11s + 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. 11s + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 11s + 0 = 0 + -8t 11s = 0 + -8t Remove the zero: 11s = -8t Divide each side by '11'. s = -0.7272727273t Simplifying s = -0.7272727273t
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