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Simplifying -8 = 4(v + 4) + -7v Reorder the terms: -8 = 4(4 + v) + -7v -8 = (4 * 4 + v * 4) + -7v -8 = (16 + 4v) + -7v Combine like terms: 4v + -7v = -3v -8 = 16 + -3v Solving -8 = 16 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -8 + 3v = 16 + -3v + 3v Combine like terms: -3v + 3v = 0 -8 + 3v = 16 + 0 -8 + 3v = 16 Add '8' to each side of the equation. -8 + 8 + 3v = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3v = 16 + 8 3v = 16 + 8 Combine like terms: 16 + 8 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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