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Simplifying 8 = 8v + -4(v + -49v + 8) Reorder the terms: 8 = 8v + -4(8 + v + -49v) Combine like terms: v + -49v = -48v 8 = 8v + -4(8 + -48v) 8 = 8v + (8 * -4 + -48v * -4) 8 = 8v + (-32 + 192v) Reorder the terms: 8 = -32 + 8v + 192v Combine like terms: 8v + 192v = 200v 8 = -32 + 200v Solving 8 = -32 + 200v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-200v' to each side of the equation. 8 + -200v = -32 + 200v + -200v Combine like terms: 200v + -200v = 0 8 + -200v = -32 + 0 8 + -200v = -32 Add '-8' to each side of the equation. 8 + -8 + -200v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -200v = -32 + -8 -200v = -32 + -8 Combine like terms: -32 + -8 = -40 -200v = -40 Divide each side by '-200'. v = 0.2 Simplifying v = 0.2
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