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Simplifying 5v + 2 = 6v + -2 Reorder the terms: 2 + 5v = 6v + -2 Reorder the terms: 2 + 5v = -2 + 6v Solving 2 + 5v = -2 + 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 + 5v + -6v = -2 + 6v + -6v Combine like terms: 5v + -6v = -1v 2 + -1v = -2 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + -1v = -2 + 0 2 + -1v = -2 Add '-2' to each side of the equation. 2 + -2 + -1v = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = -2 + -2 -1v = -2 + -2 Combine like terms: -2 + -2 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4
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