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Simplifying 14(3s + 4t) + -1(5s + -3t) = 0 (3s * 14 + 4t * 14) + -1(5s + -3t) = 0 (42s + 56t) + -1(5s + -3t) = 0 42s + 56t + (5s * -1 + -3t * -1) = 0 42s + 56t + (-5s + 3t) = 0 Reorder the terms: 42s + -5s + 56t + 3t = 0 Combine like terms: 42s + -5s = 37s 37s + 56t + 3t = 0 Combine like terms: 56t + 3t = 59t 37s + 59t = 0 Solving 37s + 59t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-59t' to each side of the equation. 37s + 59t + -59t = 0 + -59t Combine like terms: 59t + -59t = 0 37s + 0 = 0 + -59t 37s = 0 + -59t Remove the zero: 37s = -59t Divide each side by '37'. s = -1.594594595t Simplifying s = -1.594594595t
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