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Simplifying -5(v + -2) = -9v + 38 Reorder the terms: -5(-2 + v) = -9v + 38 (-2 * -5 + v * -5) = -9v + 38 (10 + -5v) = -9v + 38 Reorder the terms: 10 + -5v = 38 + -9v Solving 10 + -5v = 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. 10 + -5v + 9v = 38 + -9v + 9v Combine like terms: -5v + 9v = 4v 10 + 4v = 38 + -9v + 9v Combine like terms: -9v + 9v = 0 10 + 4v = 38 + 0 10 + 4v = 38 Add '-10' to each side of the equation. 10 + -10 + 4v = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 4v = 38 + -10 4v = 38 + -10 Combine like terms: 38 + -10 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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