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Simplifying -9(v + 4) + 4v + 5 = 8v + 8 Reorder the terms: -9(4 + v) + 4v + 5 = 8v + 8 (4 * -9 + v * -9) + 4v + 5 = 8v + 8 (-36 + -9v) + 4v + 5 = 8v + 8 Reorder the terms: -36 + 5 + -9v + 4v = 8v + 8 Combine like terms: -36 + 5 = -31 -31 + -9v + 4v = 8v + 8 Combine like terms: -9v + 4v = -5v -31 + -5v = 8v + 8 Reorder the terms: -31 + -5v = 8 + 8v Solving -31 + -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. -31 + -5v + -8v = 8 + 8v + -8v Combine like terms: -5v + -8v = -13v -31 + -13v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -31 + -13v = 8 + 0 -31 + -13v = 8 Add '31' to each side of the equation. -31 + 31 + -13v = 8 + 31 Combine like terms: -31 + 31 = 0 0 + -13v = 8 + 31 -13v = 8 + 31 Combine like terms: 8 + 31 = 39 -13v = 39 Divide each side by '-13'. v = -3 Simplifying v = -3
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