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Simplifying 39 + 2v = -3 + -4(4v + -6) Reorder the terms: 39 + 2v = -3 + -4(-6 + 4v) 39 + 2v = -3 + (-6 * -4 + 4v * -4) 39 + 2v = -3 + (24 + -16v) Combine like terms: -3 + 24 = 21 39 + 2v = 21 + -16v Solving 39 + 2v = 21 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 39 + 2v + 16v = 21 + -16v + 16v Combine like terms: 2v + 16v = 18v 39 + 18v = 21 + -16v + 16v Combine like terms: -16v + 16v = 0 39 + 18v = 21 + 0 39 + 18v = 21 Add '-39' to each side of the equation. 39 + -39 + 18v = 21 + -39 Combine like terms: 39 + -39 = 0 0 + 18v = 21 + -39 18v = 21 + -39 Combine like terms: 21 + -39 = -18 18v = -18 Divide each side by '18'. v = -1 Simplifying v = -1
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