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Simplifying 6(8 + 4v) + -6(v + 4) = 2v + -7 + -1 (8 * 6 + 4v * 6) + -6(v + 4) = 2v + -7 + -1 (48 + 24v) + -6(v + 4) = 2v + -7 + -1 Reorder the terms: 48 + 24v + -6(4 + v) = 2v + -7 + -1 48 + 24v + (4 * -6 + v * -6) = 2v + -7 + -1 48 + 24v + (-24 + -6v) = 2v + -7 + -1 Reorder the terms: 48 + -24 + 24v + -6v = 2v + -7 + -1 Combine like terms: 48 + -24 = 24 24 + 24v + -6v = 2v + -7 + -1 Combine like terms: 24v + -6v = 18v 24 + 18v = 2v + -7 + -1 Reorder the terms: 24 + 18v = -7 + -1 + 2v Combine like terms: -7 + -1 = -8 24 + 18v = -8 + 2v Solving 24 + 18v = -8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 24 + 18v + -2v = -8 + 2v + -2v Combine like terms: 18v + -2v = 16v 24 + 16v = -8 + 2v + -2v Combine like terms: 2v + -2v = 0 24 + 16v = -8 + 0 24 + 16v = -8 Add '-24' to each side of the equation. 24 + -24 + 16v = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 16v = -8 + -24 16v = -8 + -24 Combine like terms: -8 + -24 = -32 16v = -32 Divide each side by '16'. v = -2 Simplifying v = -2
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