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Simplifying -4(v + 1) = 2v + 14 Reorder the terms: -4(1 + v) = 2v + 14 (1 * -4 + v * -4) = 2v + 14 (-4 + -4v) = 2v + 14 Reorder the terms: -4 + -4v = 14 + 2v Solving -4 + -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. -4 + -4v + -2v = 14 + 2v + -2v Combine like terms: -4v + -2v = -6v -4 + -6v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 -4 + -6v = 14 + 0 -4 + -6v = 14 Add '4' to each side of the equation. -4 + 4 + -6v = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -6v = 14 + 4 -6v = 14 + 4 Combine like terms: 14 + 4 = 18 -6v = 18 Divide each side by '-6'. v = -3 Simplifying v = -3
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