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Simplifying 8v + 8 = -2v + 4(2 + -8v) Reorder the terms: 8 + 8v = -2v + 4(2 + -8v) 8 + 8v = -2v + (2 * 4 + -8v * 4) 8 + 8v = -2v + (8 + -32v) Reorder the terms: 8 + 8v = 8 + -2v + -32v Combine like terms: -2v + -32v = -34v 8 + 8v = 8 + -34v Add '-8' to each side of the equation. 8 + -8 + 8v = 8 + -8 + -34v Combine like terms: 8 + -8 = 0 0 + 8v = 8 + -8 + -34v 8v = 8 + -8 + -34v Combine like terms: 8 + -8 = 0 8v = 0 + -34v 8v = -34v Solving 8v = -34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '34v' to each side of the equation. 8v + 34v = -34v + 34v Combine like terms: 8v + 34v = 42v 42v = -34v + 34v Combine like terms: -34v + 34v = 0 42v = 0 Divide each side by '42'. v = 0 Simplifying v = 0
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