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Simplifying 2(v + -4) = 6(v + 4) Reorder the terms: 2(-4 + v) = 6(v + 4) (-4 * 2 + v * 2) = 6(v + 4) (-8 + 2v) = 6(v + 4) Reorder the terms: -8 + 2v = 6(4 + v) -8 + 2v = (4 * 6 + v * 6) -8 + 2v = (24 + 6v) Solving -8 + 2v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -8 + 2v + -6v = 24 + 6v + -6v Combine like terms: 2v + -6v = -4v -8 + -4v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 -8 + -4v = 24 + 0 -8 + -4v = 24 Add '8' to each side of the equation. -8 + 8 + -4v = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = 24 + 8 -4v = 24 + 8 Combine like terms: 24 + 8 = 32 -4v = 32 Divide each side by '-4'. v = -8 Simplifying v = -8
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