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Simplifying 6v + 13 = -3v + 4 Reorder the terms: 13 + 6v = -3v + 4 Reorder the terms: 13 + 6v = 4 + -3v Solving 13 + 6v = 4 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 13 + 6v + 3v = 4 + -3v + 3v Combine like terms: 6v + 3v = 9v 13 + 9v = 4 + -3v + 3v Combine like terms: -3v + 3v = 0 13 + 9v = 4 + 0 13 + 9v = 4 Add '-13' to each side of the equation. 13 + -13 + 9v = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 9v = 4 + -13 9v = 4 + -13 Combine like terms: 4 + -13 = -9 9v = -9 Divide each side by '9'. v = -1 Simplifying v = -1
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