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Simplifying v + -2 + 2(2v + 1) = -3(v + 2) Reorder the terms: v + -2 + 2(1 + 2v) = -3(v + 2) v + -2 + (1 * 2 + 2v * 2) = -3(v + 2) v + -2 + (2 + 4v) = -3(v + 2) Reorder the terms: -2 + 2 + v + 4v = -3(v + 2) Combine like terms: -2 + 2 = 0 0 + v + 4v = -3(v + 2) v + 4v = -3(v + 2) Combine like terms: v + 4v = 5v 5v = -3(v + 2) Reorder the terms: 5v = -3(2 + v) 5v = (2 * -3 + v * -3) 5v = (-6 + -3v) Solving 5v = -6 + -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. 5v + 3v = -6 + -3v + 3v Combine like terms: 5v + 3v = 8v 8v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 8v = -6 + 0 8v = -6 Divide each side by '8'. v = -0.75 Simplifying v = -0.75
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