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Simplifying -3(v + 5) + 5v = 2(u + 6) Reorder the terms: -3(5 + v) + 5v = 2(u + 6) (5 * -3 + v * -3) + 5v = 2(u + 6) (-15 + -3v) + 5v = 2(u + 6) Combine like terms: -3v + 5v = 2v -15 + 2v = 2(u + 6) Reorder the terms: -15 + 2v = 2(6 + u) -15 + 2v = (6 * 2 + u * 2) -15 + 2v = (12 + 2u) Solving -15 + 2v = 12 + 2u Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2v = 12 + 15 + 2u Combine like terms: -15 + 15 = 0 0 + 2v = 12 + 15 + 2u 2v = 12 + 15 + 2u Combine like terms: 12 + 15 = 27 2v = 27 + 2u Divide each side by '2'. v = 13.5 + u Simplifying v = 13.5 + u
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