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Simplifying 8 + -4v = -5(v + 4) + 5v Reorder the terms: 8 + -4v = -5(4 + v) + 5v 8 + -4v = (4 * -5 + v * -5) + 5v 8 + -4v = (-20 + -5v) + 5v Combine like terms: -5v + 5v = 0 8 + -4v = -20 + 0 8 + -4v = -20 Solving 8 + -4v = -20 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4v = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = -20 + -8 -4v = -20 + -8 Combine like terms: -20 + -8 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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