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Simplifying 2(3v + 7) = -4(3 + -2u) Reorder the terms: 2(7 + 3v) = -4(3 + -2u) (7 * 2 + 3v * 2) = -4(3 + -2u) (14 + 6v) = -4(3 + -2u) 14 + 6v = (3 * -4 + -2u * -4) 14 + 6v = (-12 + 8u) Solving 14 + 6v = -12 + 8u Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6v = -12 + -14 + 8u Combine like terms: 14 + -14 = 0 0 + 6v = -12 + -14 + 8u 6v = -12 + -14 + 8u Combine like terms: -12 + -14 = -26 6v = -26 + 8u Divide each side by '6'. v = -4.333333333 + 1.333333333u Simplifying v = -4.333333333 + 1.333333333u
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