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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 = 24 -4v = 24 Divide each side by '-4'. v = -6 Simplifying v = -6
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