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Simplifying -4v + 4 = 8(1 + -1v) Reorder the terms: 4 + -4v = 8(1 + -1v) 4 + -4v = (1 * 8 + -1v * 8) 4 + -4v = (8 + -8v) Solving 4 + -4v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 4 + -4v + 8v = 8 + -8v + 8v Combine like terms: -4v + 8v = 4v 4 + 4v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 4 + 4v = 8 + 0 4 + 4v = 8 Add '-4' to each side of the equation. 4 + -4 + 4v = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = 8 + -4 4v = 8 + -4 Combine like terms: 8 + -4 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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