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Simplifying 9 = 8v + -4(v + 8) Reorder the terms: 9 = 8v + -4(8 + v) 9 = 8v + (8 * -4 + v * -4) 9 = 8v + (-32 + -4v) Reorder the terms: 9 = -32 + 8v + -4v Combine like terms: 8v + -4v = 4v 9 = -32 + 4v Solving 9 = -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. 9 + -4v = -32 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + -4v = -32 + 0 9 + -4v = -32 Add '-9' to each side of the equation. 9 + -9 + -4v = -32 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = -32 + -9 -4v = -32 + -9 Combine like terms: -32 + -9 = -41 -4v = -41 Divide each side by '-4'. v = 10.25 Simplifying v = 10.25
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