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Simplifying -2(v + 4) = -5v + 19 Reorder the terms: -2(4 + v) = -5v + 19 (4 * -2 + v * -2) = -5v + 19 (-8 + -2v) = -5v + 19 Reorder the terms: -8 + -2v = 19 + -5v Solving -8 + -2v = 19 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -8 + -2v + 5v = 19 + -5v + 5v Combine like terms: -2v + 5v = 3v -8 + 3v = 19 + -5v + 5v Combine like terms: -5v + 5v = 0 -8 + 3v = 19 + 0 -8 + 3v = 19 Add '8' to each side of the equation. -8 + 8 + 3v = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 3v = 19 + 8 3v = 19 + 8 Combine like terms: 19 + 8 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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