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Simplifying 3v + -24 = -2(v + 7) Reorder the terms: -24 + 3v = -2(v + 7) Reorder the terms: -24 + 3v = -2(7 + v) -24 + 3v = (7 * -2 + v * -2) -24 + 3v = (-14 + -2v) Solving -24 + 3v = -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. -24 + 3v + 2v = -14 + -2v + 2v Combine like terms: 3v + 2v = 5v -24 + 5v = -14 + -2v + 2v Combine like terms: -2v + 2v = 0 -24 + 5v = -14 + 0 -24 + 5v = -14 Add '24' to each side of the equation. -24 + 24 + 5v = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 5v = -14 + 24 5v = -14 + 24 Combine like terms: -14 + 24 = 10 5v = 10 Divide each side by '5'. v = 2 Simplifying v = 2
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