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Simplifying -6v + 3 = 2v + 1 + 10 Reorder the terms: 3 + -6v = 2v + 1 + 10 Reorder the terms: 3 + -6v = 1 + 10 + 2v Combine like terms: 1 + 10 = 11 3 + -6v = 11 + 2v Solving 3 + -6v = 11 + 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. 3 + -6v + -2v = 11 + 2v + -2v Combine like terms: -6v + -2v = -8v 3 + -8v = 11 + 2v + -2v Combine like terms: 2v + -2v = 0 3 + -8v = 11 + 0 3 + -8v = 11 Add '-3' to each side of the equation. 3 + -3 + -8v = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -8v = 11 + -3 -8v = 11 + -3 Combine like terms: 11 + -3 = 8 -8v = 8 Divide each side by '-8'. v = -1 Simplifying v = -1
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