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Simplifying 2(v + -2) + 3v = -9 Reorder the terms: 2(-2 + v) + 3v = -9 (-2 * 2 + v * 2) + 3v = -9 (-4 + 2v) + 3v = -9 Combine like terms: 2v + 3v = 5v -4 + 5v = -9 Solving -4 + 5v = -9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5v = -9 + 4 Combine like terms: -4 + 4 = 0 0 + 5v = -9 + 4 5v = -9 + 4 Combine like terms: -9 + 4 = -5 5v = -5 Divide each side by '5'. v = -1 Simplifying v = -1
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