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Simplifying -9(v + 4) + 3v + 7 = 5v + 8 Reorder the terms: -9(4 + v) + 3v + 7 = 5v + 8 (4 * -9 + v * -9) + 3v + 7 = 5v + 8 (-36 + -9v) + 3v + 7 = 5v + 8 Reorder the terms: -36 + 7 + -9v + 3v = 5v + 8 Combine like terms: -36 + 7 = -29 -29 + -9v + 3v = 5v + 8 Combine like terms: -9v + 3v = -6v -29 + -6v = 5v + 8 Reorder the terms: -29 + -6v = 8 + 5v Solving -29 + -6v = 8 + 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. -29 + -6v + -5v = 8 + 5v + -5v Combine like terms: -6v + -5v = -11v -29 + -11v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -29 + -11v = 8 + 0 -29 + -11v = 8 Add '29' to each side of the equation. -29 + 29 + -11v = 8 + 29 Combine like terms: -29 + 29 = 0 0 + -11v = 8 + 29 -11v = 8 + 29 Combine like terms: 8 + 29 = 37 -11v = 37 Divide each side by '-11'. v = -3.363636364 Simplifying v = -3.363636364
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