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Simplifying -3(v + 9) = -8v + 8 Reorder the terms: -3(9 + v) = -8v + 8 (9 * -3 + v * -3) = -8v + 8 (-27 + -3v) = -8v + 8 Reorder the terms: -27 + -3v = 8 + -8v Solving -27 + -3v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -27 + -3v + 8v = 8 + -8v + 8v Combine like terms: -3v + 8v = 5v -27 + 5v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -27 + 5v = 8 + 0 -27 + 5v = 8 Add '27' to each side of the equation. -27 + 27 + 5v = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 5v = 8 + 27 5v = 8 + 27 Combine like terms: 8 + 27 = 35 5v = 35 Divide each side by '5'. v = 7 Simplifying v = 7
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