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Simplifying 4(6v + 2) = 5(-5 + 7v) Reorder the terms: 4(2 + 6v) = 5(-5 + 7v) (2 * 4 + 6v * 4) = 5(-5 + 7v) (8 + 24v) = 5(-5 + 7v) 8 + 24v = (-5 * 5 + 7v * 5) 8 + 24v = (-25 + 35v) Solving 8 + 24v = -25 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 8 + 24v + -35v = -25 + 35v + -35v Combine like terms: 24v + -35v = -11v 8 + -11v = -25 + 35v + -35v Combine like terms: 35v + -35v = 0 8 + -11v = -25 + 0 8 + -11v = -25 Add '-8' to each side of the equation. 8 + -8 + -11v = -25 + -8 Combine like terms: 8 + -8 = 0 0 + -11v = -25 + -8 -11v = -25 + -8 Combine like terms: -25 + -8 = -33 -11v = -33 Divide each side by '-11'. v = 3 Simplifying v = 3
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