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Simplifying 2(3v + 7) = -4(3 + -2v) Reorder the terms: 2(7 + 3v) = -4(3 + -2v) (7 * 2 + 3v * 2) = -4(3 + -2v) (14 + 6v) = -4(3 + -2v) 14 + 6v = (3 * -4 + -2v * -4) 14 + 6v = (-12 + 8v) Solving 14 + 6v = -12 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 14 + 6v + -8v = -12 + 8v + -8v Combine like terms: 6v + -8v = -2v 14 + -2v = -12 + 8v + -8v Combine like terms: 8v + -8v = 0 14 + -2v = -12 + 0 14 + -2v = -12 Add '-14' to each side of the equation. 14 + -14 + -2v = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = -12 + -14 -2v = -12 + -14 Combine like terms: -12 + -14 = -26 -2v = -26 Divide each side by '-2'. v = 13 Simplifying v = 13
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