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Simplifying 5(s + t) + -1(2s + 4t) = 0 (s * 5 + t * 5) + -1(2s + 4t) = 0 (5s + 5t) + -1(2s + 4t) = 0 5s + 5t + (2s * -1 + 4t * -1) = 0 5s + 5t + (-2s + -4t) = 0 Reorder the terms: 5s + -2s + 5t + -4t = 0 Combine like terms: 5s + -2s = 3s 3s + 5t + -4t = 0 Combine like terms: 5t + -4t = 1t 3s + 1t = 0 Solving 3s + 1t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 3s + 1t + -1t = 0 + -1t Combine like terms: 1t + -1t = 0 3s + 0 = 0 + -1t 3s = 0 + -1t Remove the zero: 3s = -1t Divide each side by '3'. s = -0.3333333333t Simplifying s = -0.3333333333t
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