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