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Simplifying -9(v + 2) + 4v + 5 = 8v + 8 Reorder the terms: -9(2 + v) + 4v + 5 = 8v + 8 (2 * -9 + v * -9) + 4v + 5 = 8v + 8 (-18 + -9v) + 4v + 5 = 8v + 8 Reorder the terms: -18 + 5 + -9v + 4v = 8v + 8 Combine like terms: -18 + 5 = -13 -13 + -9v + 4v = 8v + 8 Combine like terms: -9v + 4v = -5v -13 + -5v = 8v + 8 Reorder the terms: -13 + -5v = 8 + 8v Solving -13 + -5v = 8 + 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. -13 + -5v + -8v = 8 + 8v + -8v Combine like terms: -5v + -8v = -13v -13 + -13v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -13 + -13v = 8 + 0 -13 + -13v = 8 Add '13' to each side of the equation. -13 + 13 + -13v = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -13v = 8 + 13 -13v = 8 + 13 Combine like terms: 8 + 13 = 21 -13v = 21 Divide each side by '-13'. v = -1.615384615 Simplifying v = -1.615384615
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