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Simplifying 2v + -8 = 4(v + -6) Reorder the terms: -8 + 2v = 4(v + -6) Reorder the terms: -8 + 2v = 4(-6 + v) -8 + 2v = (-6 * 4 + v * 4) -8 + 2v = (-24 + 4v) Solving -8 + 2v = -24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -8 + 2v + -4v = -24 + 4v + -4v Combine like terms: 2v + -4v = -2v -8 + -2v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 -8 + -2v = -24 + 0 -8 + -2v = -24 Add '8' to each side of the equation. -8 + 8 + -2v = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -2v = -24 + 8 -2v = -24 + 8 Combine like terms: -24 + 8 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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