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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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