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Simplifying 16t(8r + 3v) = 0 (8r * 16t + 3v * 16t) = 0 (128rt + 48tv) = 0 Solving 128rt + 48tv = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48tv' to each side of the equation. 128rt + 48tv + -48tv = 0 + -48tv Combine like terms: 48tv + -48tv = 0 128rt + 0 = 0 + -48tv 128rt = 0 + -48tv Remove the zero: 128rt = -48tv Divide each side by '128t'. r = -0.375v Simplifying r = -0.375v
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