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Simplifying -2v + -24 = -4(v + 7) Reorder the terms: -24 + -2v = -4(v + 7) Reorder the terms: -24 + -2v = -4(7 + v) -24 + -2v = (7 * -4 + v * -4) -24 + -2v = (-28 + -4v) Solving -24 + -2v = -28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -24 + -2v + 4v = -28 + -4v + 4v Combine like terms: -2v + 4v = 2v -24 + 2v = -28 + -4v + 4v Combine like terms: -4v + 4v = 0 -24 + 2v = -28 + 0 -24 + 2v = -28 Add '24' to each side of the equation. -24 + 24 + 2v = -28 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -28 + 24 2v = -28 + 24 Combine like terms: -28 + 24 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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