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Simplifying (5s + -2t) + -1(2s + -4t) = 0 Remove parenthesis around (5s + -2t) 5s + -2t + -1(2s + -4t) = 0 5s + -2t + (2s * -1 + -4t * -1) = 0 5s + -2t + (-2s + 4t) = 0 Reorder the terms: 5s + -2s + -2t + 4t = 0 Combine like terms: 5s + -2s = 3s 3s + -2t + 4t = 0 Combine like terms: -2t + 4t = 2t 3s + 2t = 0 Solving 3s + 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. 3s + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 3s + 0 = 0 + -2t 3s = 0 + -2t Remove the zero: 3s = -2t Divide each side by '3'. s = -0.6666666667t Simplifying s = -0.6666666667t
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