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Simplifying 6v + -7 = 4 + v + 3 + 6 Reorder the terms: -7 + 6v = 4 + v + 3 + 6 Reorder the terms: -7 + 6v = 4 + 3 + 6 + v Combine like terms: 4 + 3 = 7 -7 + 6v = 7 + 6 + v Combine like terms: 7 + 6 = 13 -7 + 6v = 13 + v Solving -7 + 6v = 13 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -7 + 6v + -1v = 13 + v + -1v Combine like terms: 6v + -1v = 5v -7 + 5v = 13 + v + -1v Combine like terms: v + -1v = 0 -7 + 5v = 13 + 0 -7 + 5v = 13 Add '7' to each side of the equation. -7 + 7 + 5v = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5v = 13 + 7 5v = 13 + 7 Combine like terms: 13 + 7 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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