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Simplifying -9(v + 2) + 3v + 7 = 5v + 10 Reorder the terms: -9(2 + v) + 3v + 7 = 5v + 10 (2 * -9 + v * -9) + 3v + 7 = 5v + 10 (-18 + -9v) + 3v + 7 = 5v + 10 Reorder the terms: -18 + 7 + -9v + 3v = 5v + 10 Combine like terms: -18 + 7 = -11 -11 + -9v + 3v = 5v + 10 Combine like terms: -9v + 3v = -6v -11 + -6v = 5v + 10 Reorder the terms: -11 + -6v = 10 + 5v Solving -11 + -6v = 10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -11 + -6v + -5v = 10 + 5v + -5v Combine like terms: -6v + -5v = -11v -11 + -11v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -11 + -11v = 10 + 0 -11 + -11v = 10 Add '11' to each side of the equation. -11 + 11 + -11v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -11v = 10 + 11 -11v = 10 + 11 Combine like terms: 10 + 11 = 21 -11v = 21 Divide each side by '-11'. v = -1.909090909 Simplifying v = -1.909090909
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