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Simplifying G(s + -1t) = 10x + 4 (s * G + -1t * G) = 10x + 4 (sG + -1tG) = 10x + 4 Reorder the terms: sG + -1tG = 4 + 10x Solving sG + -1tG = 4 + 10x Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add 'tG' to each side of the equation. sG + -1tG + tG = 4 + tG + 10x Combine like terms: -1tG + tG = 0 sG + 0 = 4 + tG + 10x sG = 4 + tG + 10x Divide each side by 'G'. s = 4G-1 + t + 10xG-1 Simplifying s = 4G-1 + t + 10xG-1
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