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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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