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Simplifying 3 + -1(9 + -9v) = 4 + 8v 3 + (9 * -1 + -9v * -1) = 4 + 8v 3 + (-9 + 9v) = 4 + 8v Combine like terms: 3 + -9 = -6 -6 + 9v = 4 + 8v Solving -6 + 9v = 4 + 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. -6 + 9v + -8v = 4 + 8v + -8v Combine like terms: 9v + -8v = 1v -6 + 1v = 4 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + 1v = 4 + 0 -6 + 1v = 4 Add '6' to each side of the equation. -6 + 6 + 1v = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 1v = 4 + 6 1v = 4 + 6 Combine like terms: 4 + 6 = 10 1v = 10 Divide each side by '1'. v = 10 Simplifying v = 10
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