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Simplifying 6v + -2 = -2(v + -7) Reorder the terms: -2 + 6v = -2(v + -7) Reorder the terms: -2 + 6v = -2(-7 + v) -2 + 6v = (-7 * -2 + v * -2) -2 + 6v = (14 + -2v) Solving -2 + 6v = 14 + -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. -2 + 6v + 2v = 14 + -2v + 2v Combine like terms: 6v + 2v = 8v -2 + 8v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + 8v = 14 + 0 -2 + 8v = 14 Add '2' to each side of the equation. -2 + 2 + 8v = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8v = 14 + 2 8v = 14 + 2 Combine like terms: 14 + 2 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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