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Simplifying 8 = 8v + -4(v + 8) Reorder the terms: 8 = 8v + -4(8 + v) 8 = 8v + (8 * -4 + v * -4) 8 = 8v + (-32 + -4v) Reorder the terms: 8 = -32 + 8v + -4v Combine like terms: 8v + -4v = 4v 8 = -32 + 4v Solving 8 = -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. 8 + -4v = -32 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -4v = -32 + 0 8 + -4v = -32 Add '-8' to each side of the equation. 8 + -8 + -4v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = -32 + -8 -4v = -32 + -8 Combine like terms: -32 + -8 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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