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