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Simplifying -2(v + -2) = -9v + -38 Reorder the terms: -2(-2 + v) = -9v + -38 (-2 * -2 + v * -2) = -9v + -38 (4 + -2v) = -9v + -38 Reorder the terms: 4 + -2v = -38 + -9v Solving 4 + -2v = -38 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 4 + -2v + 9v = -38 + -9v + 9v Combine like terms: -2v + 9v = 7v 4 + 7v = -38 + -9v + 9v Combine like terms: -9v + 9v = 0 4 + 7v = -38 + 0 4 + 7v = -38 Add '-4' to each side of the equation. 4 + -4 + 7v = -38 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = -38 + -4 7v = -38 + -4 Combine like terms: -38 + -4 = -42 7v = -42 Divide each side by '7'. v = -6 Simplifying v = -6
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