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Simplifying -8(v + 4) + 3v + 5 = 8v + 9 Reorder the terms: -8(4 + v) + 3v + 5 = 8v + 9 (4 * -8 + v * -8) + 3v + 5 = 8v + 9 (-32 + -8v) + 3v + 5 = 8v + 9 Reorder the terms: -32 + 5 + -8v + 3v = 8v + 9 Combine like terms: -32 + 5 = -27 -27 + -8v + 3v = 8v + 9 Combine like terms: -8v + 3v = -5v -27 + -5v = 8v + 9 Reorder the terms: -27 + -5v = 9 + 8v Solving -27 + -5v = 9 + 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. -27 + -5v + -8v = 9 + 8v + -8v Combine like terms: -5v + -8v = -13v -27 + -13v = 9 + 8v + -8v Combine like terms: 8v + -8v = 0 -27 + -13v = 9 + 0 -27 + -13v = 9 Add '27' to each side of the equation. -27 + 27 + -13v = 9 + 27 Combine like terms: -27 + 27 = 0 0 + -13v = 9 + 27 -13v = 9 + 27 Combine like terms: 9 + 27 = 36 -13v = 36 Divide each side by '-13'. v = -2.769230769 Simplifying v = -2.769230769
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