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Simplifying -4(v + -4) = -2[-2v + -5(-1v + 4)] Reorder the terms: -4(-4 + v) = -2[-2v + -5(-1v + 4)] (-4 * -4 + v * -4) = -2[-2v + -5(-1v + 4)] (16 + -4v) = -2[-2v + -5(-1v + 4)] Reorder the terms: 16 + -4v = -2[-2v + -5(4 + -1v)] 16 + -4v = -2[-2v + (4 * -5 + -1v * -5)] 16 + -4v = -2[-2v + (-20 + 5v)] Reorder the terms: 16 + -4v = -2[-20 + -2v + 5v] Combine like terms: -2v + 5v = 3v 16 + -4v = -2[-20 + 3v] 16 + -4v = [-20 * -2 + 3v * -2] 16 + -4v = [40 + -6v] Solving 16 + -4v = 40 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 16 + -4v + 6v = 40 + -6v + 6v Combine like terms: -4v + 6v = 2v 16 + 2v = 40 + -6v + 6v Combine like terms: -6v + 6v = 0 16 + 2v = 40 + 0 16 + 2v = 40 Add '-16' to each side of the equation. 16 + -16 + 2v = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 2v = 40 + -16 2v = 40 + -16 Combine like terms: 40 + -16 = 24 2v = 24 Divide each side by '2'. v = 12 Simplifying v = 12
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