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Simplifying 6(-3v + 1) = 5(2 + t) Reorder the terms: 6(1 + -3v) = 5(2 + t) (1 * 6 + -3v * 6) = 5(2 + t) (6 + -18v) = 5(2 + t) 6 + -18v = (2 * 5 + t * 5) 6 + -18v = (10 + 5t) Solving 6 + -18v = 10 + 5t Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -18v = 10 + -6 + 5t Combine like terms: 6 + -6 = 0 0 + -18v = 10 + -6 + 5t -18v = 10 + -6 + 5t Combine like terms: 10 + -6 = 4 -18v = 4 + 5t Divide each side by '-18'. v = -0.2222222222 + -0.2777777778t Simplifying v = -0.2222222222 + -0.2777777778t
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