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Simplifying -7 + -3 + 6v + 1 = 2v + 3 Reorder the terms: -7 + -3 + 1 + 6v = 2v + 3 Combine like terms: -7 + -3 = -10 -10 + 1 + 6v = 2v + 3 Combine like terms: -10 + 1 = -9 -9 + 6v = 2v + 3 Reorder the terms: -9 + 6v = 3 + 2v Solving -9 + 6v = 3 + 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. -9 + 6v + -2v = 3 + 2v + -2v Combine like terms: 6v + -2v = 4v -9 + 4v = 3 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 4v = 3 + 0 -9 + 4v = 3 Add '9' to each side of the equation. -9 + 9 + 4v = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 4v = 3 + 9 4v = 3 + 9 Combine like terms: 3 + 9 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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