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Simplifying 2v + 8 = 16 + -4(v + 4) Reorder the terms: 8 + 2v = 16 + -4(v + 4) Reorder the terms: 8 + 2v = 16 + -4(4 + v) 8 + 2v = 16 + (4 * -4 + v * -4) 8 + 2v = 16 + (-16 + -4v) Combine like terms: 16 + -16 = 0 8 + 2v = 0 + -4v 8 + 2v = -4v Solving 8 + 2v = -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. 8 + 2v + 4v = -4v + 4v Combine like terms: 2v + 4v = 6v 8 + 6v = -4v + 4v Combine like terms: -4v + 4v = 0 8 + 6v = 0 Add '-8' to each side of the equation. 8 + -8 + 6v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = 0 + -8 6v = 0 + -8 Combine like terms: 0 + -8 = -8 6v = -8 Divide each side by '6'. v = -1.333333333 Simplifying v = -1.333333333
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