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Simplifying 6(-3v + 1) = 5(-2 + -1t) Reorder the terms: 6(1 + -3v) = 5(-2 + -1t) (1 * 6 + -3v * 6) = 5(-2 + -1t) (6 + -18v) = 5(-2 + -1t) 6 + -18v = (-2 * 5 + -1t * 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 = -16 -18v = -16 + -5t Divide each side by '-18'. v = 0.8888888889 + 0.2777777778t Simplifying v = 0.8888888889 + 0.2777777778t
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