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Simplifying -1(-3v + -8) = 28 + 9v Reorder the terms: -1(-8 + -3v) = 28 + 9v (-8 * -1 + -3v * -1) = 28 + 9v (8 + 3v) = 28 + 9v Solving 8 + 3v = 28 + 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. 8 + 3v + -9v = 28 + 9v + -9v Combine like terms: 3v + -9v = -6v 8 + -6v = 28 + 9v + -9v Combine like terms: 9v + -9v = 0 8 + -6v = 28 + 0 8 + -6v = 28 Add '-8' to each side of the equation. 8 + -8 + -6v = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -6v = 28 + -8 -6v = 28 + -8 Combine like terms: 28 + -8 = 20 -6v = 20 Divide each side by '-6'. v = -3.333333333 Simplifying v = -3.333333333
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