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Simplifying 2(4v + 4) = -3(2v + 14) Reorder the terms: 2(4 + 4v) = -3(2v + 14) (4 * 2 + 4v * 2) = -3(2v + 14) (8 + 8v) = -3(2v + 14) Reorder the terms: 8 + 8v = -3(14 + 2v) 8 + 8v = (14 * -3 + 2v * -3) 8 + 8v = (-42 + -6v) Solving 8 + 8v = -42 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 8 + 8v + 6v = -42 + -6v + 6v Combine like terms: 8v + 6v = 14v 8 + 14v = -42 + -6v + 6v Combine like terms: -6v + 6v = 0 8 + 14v = -42 + 0 8 + 14v = -42 Add '-8' to each side of the equation. 8 + -8 + 14v = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 14v = -42 + -8 14v = -42 + -8 Combine like terms: -42 + -8 = -50 14v = -50 Divide each side by '14'. v = -3.571428571 Simplifying v = -3.571428571
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