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Simplifying 6v + 13 = -16 + 8 + 3v Reorder the terms: 13 + 6v = -16 + 8 + 3v Combine like terms: -16 + 8 = -8 13 + 6v = -8 + 3v Solving 13 + 6v = -8 + 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 = -8 + 3v + -3v Combine like terms: 6v + -3v = 3v 13 + 3v = -8 + 3v + -3v Combine like terms: 3v + -3v = 0 13 + 3v = -8 + 0 13 + 3v = -8 Add '-13' to each side of the equation. 13 + -13 + 3v = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 3v = -8 + -13 3v = -8 + -13 Combine like terms: -8 + -13 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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