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