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Simplifying 6(7 + -4v) = 6(-6v + 3) (7 * 6 + -4v * 6) = 6(-6v + 3) (42 + -24v) = 6(-6v + 3) Reorder the terms: 42 + -24v = 6(3 + -6v) 42 + -24v = (3 * 6 + -6v * 6) 42 + -24v = (18 + -36v) Solving 42 + -24v = 18 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. 42 + -24v + 36v = 18 + -36v + 36v Combine like terms: -24v + 36v = 12v 42 + 12v = 18 + -36v + 36v Combine like terms: -36v + 36v = 0 42 + 12v = 18 + 0 42 + 12v = 18 Add '-42' to each side of the equation. 42 + -42 + 12v = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 12v = 18 + -42 12v = 18 + -42 Combine like terms: 18 + -42 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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