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Simplifying -8(v + 2) + 4v + 5 = 6v + 9 Reorder the terms: -8(2 + v) + 4v + 5 = 6v + 9 (2 * -8 + v * -8) + 4v + 5 = 6v + 9 (-16 + -8v) + 4v + 5 = 6v + 9 Reorder the terms: -16 + 5 + -8v + 4v = 6v + 9 Combine like terms: -16 + 5 = -11 -11 + -8v + 4v = 6v + 9 Combine like terms: -8v + 4v = -4v -11 + -4v = 6v + 9 Reorder the terms: -11 + -4v = 9 + 6v Solving -11 + -4v = 9 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -11 + -4v + -6v = 9 + 6v + -6v Combine like terms: -4v + -6v = -10v -11 + -10v = 9 + 6v + -6v Combine like terms: 6v + -6v = 0 -11 + -10v = 9 + 0 -11 + -10v = 9 Add '11' to each side of the equation. -11 + 11 + -10v = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -10v = 9 + 11 -10v = 9 + 11 Combine like terms: 9 + 11 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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