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Simplifying 4v + -8 = -5(1 + -1v) Reorder the terms: -8 + 4v = -5(1 + -1v) -8 + 4v = (1 * -5 + -1v * -5) -8 + 4v = (-5 + 5v) Solving -8 + 4v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -8 + 4v + -5v = -5 + 5v + -5v Combine like terms: 4v + -5v = -1v -8 + -1v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -1v = -5 + 0 -8 + -1v = -5 Add '8' to each side of the equation. -8 + 8 + -1v = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = -5 + 8 -1v = -5 + 8 Combine like terms: -5 + 8 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3
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