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Simplifying 3v + 15 = -4v + -32 Reorder the terms: 15 + 3v = -4v + -32 Reorder the terms: 15 + 3v = -32 + -4v Solving 15 + 3v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 15 + 3v + 4v = -32 + -4v + 4v Combine like terms: 3v + 4v = 7v 15 + 7v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 15 + 7v = -32 + 0 15 + 7v = -32 Add '-15' to each side of the equation. 15 + -15 + 7v = -32 + -15 Combine like terms: 15 + -15 = 0 0 + 7v = -32 + -15 7v = -32 + -15 Combine like terms: -32 + -15 = -47 7v = -47 Divide each side by '7'. v = -6.714285714 Simplifying v = -6.714285714
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