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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) Solving 8 + -8v = -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 + -8v + 4v = -32 + -4v + 4v Combine like terms: -8v + 4v = -4v 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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