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Simplifying 5(2 + -1v) + -1v = 2(u + 1) (2 * 5 + -1v * 5) + -1v = 2(u + 1) (10 + -5v) + -1v = 2(u + 1) Combine like terms: -5v + -1v = -6v 10 + -6v = 2(u + 1) Reorder the terms: 10 + -6v = 2(1 + u) 10 + -6v = (1 * 2 + u * 2) 10 + -6v = (2 + 2u) Solving 10 + -6v = 2 + 2u Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6v = 2 + -10 + 2u Combine like terms: 10 + -10 = 0 0 + -6v = 2 + -10 + 2u -6v = 2 + -10 + 2u Combine like terms: 2 + -10 = -8 -6v = -8 + 2u Divide each side by '-6'. v = 1.333333333 + -0.3333333333u Simplifying v = 1.333333333 + -0.3333333333u
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