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Simplifying 8v + 2 = 6(v + -1) Reorder the terms: 2 + 8v = 6(v + -1) Reorder the terms: 2 + 8v = 6(-1 + v) 2 + 8v = (-1 * 6 + v * 6) 2 + 8v = (-6 + 6v) Solving 2 + 8v = -6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 2 + 8v + -6v = -6 + 6v + -6v Combine like terms: 8v + -6v = 2v 2 + 2v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + 2v = -6 + 0 2 + 2v = -6 Add '-2' to each side of the equation. 2 + -2 + 2v = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2v = -6 + -2 2v = -6 + -2 Combine like terms: -6 + -2 = -8 2v = -8 Divide each side by '2'. v = -4 Simplifying v = -4
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