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Simplifying (5s + t) + (-3s + 4t) = 0 Remove parenthesis around (5s + t) 5s + t + (-3s + 4t) = 0 Remove parenthesis around (-3s + 4t) 5s + t + -3s + 4t = 0 Reorder the terms: 5s + -3s + t + 4t = 0 Combine like terms: 5s + -3s = 2s 2s + t + 4t = 0 Combine like terms: t + 4t = 5t 2s + 5t = 0 Solving 2s + 5t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. 2s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 2s + 0 = 0 + -5t 2s = 0 + -5t Remove the zero: 2s = -5t Divide each side by '2'. s = -2.5t Simplifying s = -2.5t
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