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Simplifying 3v + 4 = -5(v + 4) Reorder the terms: 4 + 3v = -5(v + 4) Reorder the terms: 4 + 3v = -5(4 + v) 4 + 3v = (4 * -5 + v * -5) 4 + 3v = (-20 + -5v) Solving 4 + 3v = -20 + -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. 4 + 3v + 5v = -20 + -5v + 5v Combine like terms: 3v + 5v = 8v 4 + 8v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 4 + 8v = -20 + 0 4 + 8v = -20 Add '-4' to each side of the equation. 4 + -4 + 8v = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 8v = -20 + -4 8v = -20 + -4 Combine like terms: -20 + -4 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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