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Simplifying 6(-3v + 1) = 5(3 + 2q) Reorder the terms: 6(1 + -3v) = 5(3 + 2q) (1 * 6 + -3v * 6) = 5(3 + 2q) (6 + -18v) = 5(3 + 2q) 6 + -18v = (3 * 5 + 2q * 5) 6 + -18v = (15 + 10q) Solving 6 + -18v = 15 + 10q 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 = 15 + -6 + 10q Combine like terms: 6 + -6 = 0 0 + -18v = 15 + -6 + 10q -18v = 15 + -6 + 10q Combine like terms: 15 + -6 = 9 -18v = 9 + 10q Divide each side by '-18'. v = -0.5 + -0.5555555556q Simplifying v = -0.5 + -0.5555555556q
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