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Simplifying -6(-4 + -3v) + -3(v + 8) = 11v + -3v (-4 * -6 + -3v * -6) + -3(v + 8) = 11v + -3v (24 + 18v) + -3(v + 8) = 11v + -3v Reorder the terms: 24 + 18v + -3(8 + v) = 11v + -3v 24 + 18v + (8 * -3 + v * -3) = 11v + -3v 24 + 18v + (-24 + -3v) = 11v + -3v Reorder the terms: 24 + -24 + 18v + -3v = 11v + -3v Combine like terms: 24 + -24 = 0 0 + 18v + -3v = 11v + -3v 18v + -3v = 11v + -3v Combine like terms: 18v + -3v = 15v 15v = 11v + -3v Combine like terms: 11v + -3v = 8v 15v = 8v Solving 15v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 15v + -8v = 8v + -8v Combine like terms: 15v + -8v = 7v 7v = 8v + -8v Combine like terms: 8v + -8v = 0 7v = 0 Divide each side by '7'. v = 0 Simplifying v = 0
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