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Simplifying -9(v + 2) + 3v + 7 = 8v + 10 Reorder the terms: -9(2 + v) + 3v + 7 = 8v + 10 (2 * -9 + v * -9) + 3v + 7 = 8v + 10 (-18 + -9v) + 3v + 7 = 8v + 10 Reorder the terms: -18 + 7 + -9v + 3v = 8v + 10 Combine like terms: -18 + 7 = -11 -11 + -9v + 3v = 8v + 10 Combine like terms: -9v + 3v = -6v -11 + -6v = 8v + 10 Reorder the terms: -11 + -6v = 10 + 8v Solving -11 + -6v = 10 + 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. -11 + -6v + -8v = 10 + 8v + -8v Combine like terms: -6v + -8v = -14v -11 + -14v = 10 + 8v + -8v Combine like terms: 8v + -8v = 0 -11 + -14v = 10 + 0 -11 + -14v = 10 Add '11' to each side of the equation. -11 + 11 + -14v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -14v = 10 + 11 -14v = 10 + 11 Combine like terms: 10 + 11 = 21 -14v = 21 Divide each side by '-14'. v = -1.5 Simplifying v = -1.5
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