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Simplifying 4v + 16 = 15 + -5v + -8 Reorder the terms: 16 + 4v = 15 + -5v + -8 Reorder the terms: 16 + 4v = 15 + -8 + -5v Combine like terms: 15 + -8 = 7 16 + 4v = 7 + -5v Solving 16 + 4v = 7 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 16 + 4v + 5v = 7 + -5v + 5v Combine like terms: 4v + 5v = 9v 16 + 9v = 7 + -5v + 5v Combine like terms: -5v + 5v = 0 16 + 9v = 7 + 0 16 + 9v = 7 Add '-16' to each side of the equation. 16 + -16 + 9v = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 9v = 7 + -16 9v = 7 + -16 Combine like terms: 7 + -16 = -9 9v = -9 Divide each side by '9'. v = -1 Simplifying v = -1
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