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Simplifying 39 + -4v = -3(1 + 4v) + 2 39 + -4v = (1 * -3 + 4v * -3) + 2 39 + -4v = (-3 + -12v) + 2 Reorder the terms: 39 + -4v = -3 + 2 + -12v Combine like terms: -3 + 2 = -1 39 + -4v = -1 + -12v Solving 39 + -4v = -1 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 39 + -4v + 12v = -1 + -12v + 12v Combine like terms: -4v + 12v = 8v 39 + 8v = -1 + -12v + 12v Combine like terms: -12v + 12v = 0 39 + 8v = -1 + 0 39 + 8v = -1 Add '-39' to each side of the equation. 39 + -39 + 8v = -1 + -39 Combine like terms: 39 + -39 = 0 0 + 8v = -1 + -39 8v = -1 + -39 Combine like terms: -1 + -39 = -40 8v = -40 Divide each side by '8'. v = -5 Simplifying v = -5
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