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Simplifying 3(2s + -5t) + -1(4s + -3t) = 0 (2s * 3 + -5t * 3) + -1(4s + -3t) = 0 (6s + -15t) + -1(4s + -3t) = 0 6s + -15t + (4s * -1 + -3t * -1) = 0 6s + -15t + (-4s + 3t) = 0 Reorder the terms: 6s + -4s + -15t + 3t = 0 Combine like terms: 6s + -4s = 2s 2s + -15t + 3t = 0 Combine like terms: -15t + 3t = -12t 2s + -12t = 0 Solving 2s + -12t = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12t' to each side of the equation. 2s + -12t + 12t = 0 + 12t Combine like terms: -12t + 12t = 0 2s + 0 = 0 + 12t 2s = 0 + 12t Remove the zero: 2s = 12t Divide each side by '2'. s = 6t Simplifying s = 6t
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