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Simplifying 39 + -6v = -1v + -4(8v + -3) Reorder the terms: 39 + -6v = -1v + -4(-3 + 8v) 39 + -6v = -1v + (-3 * -4 + 8v * -4) 39 + -6v = -1v + (12 + -32v) Reorder the terms: 39 + -6v = 12 + -1v + -32v Combine like terms: -1v + -32v = -33v 39 + -6v = 12 + -33v Solving 39 + -6v = 12 + -33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '33v' to each side of the equation. 39 + -6v + 33v = 12 + -33v + 33v Combine like terms: -6v + 33v = 27v 39 + 27v = 12 + -33v + 33v Combine like terms: -33v + 33v = 0 39 + 27v = 12 + 0 39 + 27v = 12 Add '-39' to each side of the equation. 39 + -39 + 27v = 12 + -39 Combine like terms: 39 + -39 = 0 0 + 27v = 12 + -39 27v = 12 + -39 Combine like terms: 12 + -39 = -27 27v = -27 Divide each side by '27'. v = -1 Simplifying v = -1
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