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Simplifying 2 + 6v = 4(2v + -1) Reorder the terms: 2 + 6v = 4(-1 + 2v) 2 + 6v = (-1 * 4 + 2v * 4) 2 + 6v = (-4 + 8v) Solving 2 + 6v = -4 + 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. 2 + 6v + -8v = -4 + 8v + -8v Combine like terms: 6v + -8v = -2v 2 + -2v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -2v = -4 + 0 2 + -2v = -4 Add '-2' to each side of the equation. 2 + -2 + -2v = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = -4 + -2 -2v = -4 + -2 Combine like terms: -4 + -2 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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