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Simplifying -8(v + 4) + 4v + 5 = 6v + 6 Reorder the terms: -8(4 + v) + 4v + 5 = 6v + 6 (4 * -8 + v * -8) + 4v + 5 = 6v + 6 (-32 + -8v) + 4v + 5 = 6v + 6 Reorder the terms: -32 + 5 + -8v + 4v = 6v + 6 Combine like terms: -32 + 5 = -27 -27 + -8v + 4v = 6v + 6 Combine like terms: -8v + 4v = -4v -27 + -4v = 6v + 6 Reorder the terms: -27 + -4v = 6 + 6v Solving -27 + -4v = 6 + 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. -27 + -4v + -6v = 6 + 6v + -6v Combine like terms: -4v + -6v = -10v -27 + -10v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -27 + -10v = 6 + 0 -27 + -10v = 6 Add '27' to each side of the equation. -27 + 27 + -10v = 6 + 27 Combine like terms: -27 + 27 = 0 0 + -10v = 6 + 27 -10v = 6 + 27 Combine like terms: 6 + 27 = 33 -10v = 33 Divide each side by '-10'. v = -3.3 Simplifying v = -3.3
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