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Simplifying 2 + -3v + -1 = -3 + -8v + 4 + -15 Reorder the terms: 2 + -1 + -3v = -3 + -8v + 4 + -15 Combine like terms: 2 + -1 = 1 1 + -3v = -3 + -8v + 4 + -15 Reorder the terms: 1 + -3v = -3 + 4 + -15 + -8v Combine like terms: -3 + 4 = 1 1 + -3v = 1 + -15 + -8v Combine like terms: 1 + -15 = -14 1 + -3v = -14 + -8v Solving 1 + -3v = -14 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 1 + -3v + 8v = -14 + -8v + 8v Combine like terms: -3v + 8v = 5v 1 + 5v = -14 + -8v + 8v Combine like terms: -8v + 8v = 0 1 + 5v = -14 + 0 1 + 5v = -14 Add '-1' to each side of the equation. 1 + -1 + 5v = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 5v = -14 + -1 5v = -14 + -1 Combine like terms: -14 + -1 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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