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Simplifying v + -5 + 2(2v + 4) = -3(v + 5) Reorder the terms: v + -5 + 2(4 + 2v) = -3(v + 5) v + -5 + (4 * 2 + 2v * 2) = -3(v + 5) v + -5 + (8 + 4v) = -3(v + 5) Reorder the terms: -5 + 8 + v + 4v = -3(v + 5) Combine like terms: -5 + 8 = 3 3 + v + 4v = -3(v + 5) Combine like terms: v + 4v = 5v 3 + 5v = -3(v + 5) Reorder the terms: 3 + 5v = -3(5 + v) 3 + 5v = (5 * -3 + v * -3) 3 + 5v = (-15 + -3v) Solving 3 + 5v = -15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 3 + 5v + 3v = -15 + -3v + 3v Combine like terms: 5v + 3v = 8v 3 + 8v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 3 + 8v = -15 + 0 3 + 8v = -15 Add '-3' to each side of the equation. 3 + -3 + 8v = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = -15 + -3 8v = -15 + -3 Combine like terms: -15 + -3 = -18 8v = -18 Divide each side by '8'. v = -2.25 Simplifying v = -2.25
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