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Simplifying -2(v + 4) = -5v + 13 Reorder the terms: -2(4 + v) = -5v + 13 (4 * -2 + v * -2) = -5v + 13 (-8 + -2v) = -5v + 13 Reorder the terms: -8 + -2v = 13 + -5v Solving -8 + -2v = 13 + -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 = 13 + -5v + 5v Combine like terms: -2v + 5v = 3v -8 + 3v = 13 + -5v + 5v Combine like terms: -5v + 5v = 0 -8 + 3v = 13 + 0 -8 + 3v = 13 Add '8' to each side of the equation. -8 + 8 + 3v = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3v = 13 + 8 3v = 13 + 8 Combine like terms: 13 + 8 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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