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Simplifying -6(4v + 7) = 39 + 3v Reorder the terms: -6(7 + 4v) = 39 + 3v (7 * -6 + 4v * -6) = 39 + 3v (-42 + -24v) = 39 + 3v Solving -42 + -24v = 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. -42 + -24v + -3v = 39 + 3v + -3v Combine like terms: -24v + -3v = -27v -42 + -27v = 39 + 3v + -3v Combine like terms: 3v + -3v = 0 -42 + -27v = 39 + 0 -42 + -27v = 39 Add '42' to each side of the equation. -42 + 42 + -27v = 39 + 42 Combine like terms: -42 + 42 = 0 0 + -27v = 39 + 42 -27v = 39 + 42 Combine like terms: 39 + 42 = 81 -27v = 81 Divide each side by '-27'. v = -3 Simplifying v = -3
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