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Simplifying 3v + 6(-4v + 3) = 81 Reorder the terms: 3v + 6(3 + -4v) = 81 3v + (3 * 6 + -4v * 6) = 81 3v + (18 + -24v) = 81 Reorder the terms: 18 + 3v + -24v = 81 Combine like terms: 3v + -24v = -21v 18 + -21v = 81 Solving 18 + -21v = 81 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -21v = 81 + -18 Combine like terms: 18 + -18 = 0 0 + -21v = 81 + -18 -21v = 81 + -18 Combine like terms: 81 + -18 = 63 -21v = 63 Divide each side by '-21'. v = -3 Simplifying v = -3
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