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Simplifying -9(-3y + -1v + 5) = 0 Reorder the terms: -9(5 + -1v + -3y) = 0 (5 * -9 + -1v * -9 + -3y * -9) = 0 (-45 + 9v + 27y) = 0 Solving -45 + 9v + 27y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 9v + 45 + 27y = 0 + 45 Reorder the terms: -45 + 45 + 9v + 27y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 9v + 27y = 0 + 45 9v + 27y = 0 + 45 Combine like terms: 0 + 45 = 45 9v + 27y = 45 Add '-27y' to each side of the equation. 9v + 27y + -27y = 45 + -27y Combine like terms: 27y + -27y = 0 9v + 0 = 45 + -27y 9v = 45 + -27y Divide each side by '9'. v = 5 + -3y Simplifying v = 5 + -3y
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