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Simplifying 2[v + -5] = -1[3v + 5] Reorder the terms: 2[-5 + v] = -1[3v + 5] [-5 * 2 + v * 2] = -1[3v + 5] [-10 + 2v] = -1[3v + 5] Reorder the terms: -10 + 2v = -1[5 + 3v] -10 + 2v = [5 * -1 + 3v * -1] -10 + 2v = [-5 + -3v] Solving -10 + 2v = -5 + -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. -10 + 2v + 3v = -5 + -3v + 3v Combine like terms: 2v + 3v = 5v -10 + 5v = -5 + -3v + 3v Combine like terms: -3v + 3v = 0 -10 + 5v = -5 + 0 -10 + 5v = -5 Add '10' to each side of the equation. -10 + 10 + 5v = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 5v = -5 + 10 5v = -5 + 10 Combine like terms: -5 + 10 = 5 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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