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Simplifying -2(v + -4) + -8(v + 12) = -11v + -3v Reorder the terms: -2(-4 + v) + -8(v + 12) = -11v + -3v (-4 * -2 + v * -2) + -8(v + 12) = -11v + -3v (8 + -2v) + -8(v + 12) = -11v + -3v Reorder the terms: 8 + -2v + -8(12 + v) = -11v + -3v 8 + -2v + (12 * -8 + v * -8) = -11v + -3v 8 + -2v + (-96 + -8v) = -11v + -3v Reorder the terms: 8 + -96 + -2v + -8v = -11v + -3v Combine like terms: 8 + -96 = -88 -88 + -2v + -8v = -11v + -3v Combine like terms: -2v + -8v = -10v -88 + -10v = -11v + -3v Combine like terms: -11v + -3v = -14v -88 + -10v = -14v Solving -88 + -10v = -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -88 + -10v + 14v = -14v + 14v Combine like terms: -10v + 14v = 4v -88 + 4v = -14v + 14v Combine like terms: -14v + 14v = 0 -88 + 4v = 0 Add '88' to each side of the equation. -88 + 88 + 4v = 0 + 88 Combine like terms: -88 + 88 = 0 0 + 4v = 0 + 88 4v = 0 + 88 Combine like terms: 0 + 88 = 88 4v = 88 Divide each side by '4'. v = 22 Simplifying v = 22
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