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Simplifying 6(v + -5) = -3v + -39 Reorder the terms: 6(-5 + v) = -3v + -39 (-5 * 6 + v * 6) = -3v + -39 (-30 + 6v) = -3v + -39 Reorder the terms: -30 + 6v = -39 + -3v Solving -30 + 6v = -39 + -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. -30 + 6v + 3v = -39 + -3v + 3v Combine like terms: 6v + 3v = 9v -30 + 9v = -39 + -3v + 3v Combine like terms: -3v + 3v = 0 -30 + 9v = -39 + 0 -30 + 9v = -39 Add '30' to each side of the equation. -30 + 30 + 9v = -39 + 30 Combine like terms: -30 + 30 = 0 0 + 9v = -39 + 30 9v = -39 + 30 Combine like terms: -39 + 30 = -9 9v = -9 Divide each side by '9'. v = -1 Simplifying v = -1
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