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Simplifying 7(v + -2) + 5v = -38 Reorder the terms: 7(-2 + v) + 5v = -38 (-2 * 7 + v * 7) + 5v = -38 (-14 + 7v) + 5v = -38 Combine like terms: 7v + 5v = 12v -14 + 12v = -38 Solving -14 + 12v = -38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 12v = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 12v = -38 + 14 12v = -38 + 14 Combine like terms: -38 + 14 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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