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Simplifying -1(8v + 1) = -4v + 5 Reorder the terms: -1(1 + 8v) = -4v + 5 (1 * -1 + 8v * -1) = -4v + 5 (-1 + -8v) = -4v + 5 Reorder the terms: -1 + -8v = 5 + -4v Solving -1 + -8v = 5 + -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. -1 + -8v + 4v = 5 + -4v + 4v Combine like terms: -8v + 4v = -4v -1 + -4v = 5 + -4v + 4v Combine like terms: -4v + 4v = 0 -1 + -4v = 5 + 0 -1 + -4v = 5 Add '1' to each side of the equation. -1 + 1 + -4v = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -4v = 5 + 1 -4v = 5 + 1 Combine like terms: 5 + 1 = 6 -4v = 6 Divide each side by '-4'. v = -1.5 Simplifying v = -1.5
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