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Simplifying 8 = 8v + -4(v + -4v + 8) Reorder the terms: 8 = 8v + -4(8 + v + -4v) Combine like terms: v + -4v = -3v 8 = 8v + -4(8 + -3v) 8 = 8v + (8 * -4 + -3v * -4) 8 = 8v + (-32 + 12v) Reorder the terms: 8 = -32 + 8v + 12v Combine like terms: 8v + 12v = 20v 8 = -32 + 20v Solving 8 = -32 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 8 + -20v = -32 + 20v + -20v Combine like terms: 20v + -20v = 0 8 + -20v = -32 + 0 8 + -20v = -32 Add '-8' to each side of the equation. 8 + -8 + -20v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -20v = -32 + -8 -20v = -32 + -8 Combine like terms: -32 + -8 = -40 -20v = -40 Divide each side by '-20'. v = 2 Simplifying v = 2
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