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Simplifying 7v + -2 = 2(-1 + 3v) Reorder the terms: -2 + 7v = 2(-1 + 3v) -2 + 7v = (-1 * 2 + 3v * 2) -2 + 7v = (-2 + 6v) Add '2' to each side of the equation. -2 + 2 + 7v = -2 + 2 + 6v Combine like terms: -2 + 2 = 0 0 + 7v = -2 + 2 + 6v 7v = -2 + 2 + 6v Combine like terms: -2 + 2 = 0 7v = 0 + 6v 7v = 6v Solving 7v = 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. 7v + -6v = 6v + -6v Combine like terms: 7v + -6v = 1v 1v = 6v + -6v Combine like terms: 6v + -6v = 0 1v = 0 Divide each side by '1'. v = 0 Simplifying v = 0
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