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Simplifying 4v + 8 = 15v + -3v + 64 Reorder the terms: 8 + 4v = 15v + -3v + 64 Reorder the terms: 8 + 4v = 64 + 15v + -3v Combine like terms: 15v + -3v = 12v 8 + 4v = 64 + 12v Solving 8 + 4v = 64 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 8 + 4v + -12v = 64 + 12v + -12v Combine like terms: 4v + -12v = -8v 8 + -8v = 64 + 12v + -12v Combine like terms: 12v + -12v = 0 8 + -8v = 64 + 0 8 + -8v = 64 Add '-8' to each side of the equation. 8 + -8 + -8v = 64 + -8 Combine like terms: 8 + -8 = 0 0 + -8v = 64 + -8 -8v = 64 + -8 Combine like terms: 64 + -8 = 56 -8v = 56 Divide each side by '-8'. v = -7 Simplifying v = -7
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