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Simplifying -4(v + -4) = 2v + -14 Reorder the terms: -4(-4 + v) = 2v + -14 (-4 * -4 + v * -4) = 2v + -14 (16 + -4v) = 2v + -14 Reorder the terms: 16 + -4v = -14 + 2v Solving 16 + -4v = -14 + 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. 16 + -4v + -2v = -14 + 2v + -2v Combine like terms: -4v + -2v = -6v 16 + -6v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 16 + -6v = -14 + 0 16 + -6v = -14 Add '-16' to each side of the equation. 16 + -16 + -6v = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -6v = -14 + -16 -6v = -14 + -16 Combine like terms: -14 + -16 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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