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Simplifying -8(v + 4) + 4v + 7 = 5v + 6 Reorder the terms: -8(4 + v) + 4v + 7 = 5v + 6 (4 * -8 + v * -8) + 4v + 7 = 5v + 6 (-32 + -8v) + 4v + 7 = 5v + 6 Reorder the terms: -32 + 7 + -8v + 4v = 5v + 6 Combine like terms: -32 + 7 = -25 -25 + -8v + 4v = 5v + 6 Combine like terms: -8v + 4v = -4v -25 + -4v = 5v + 6 Reorder the terms: -25 + -4v = 6 + 5v Solving -25 + -4v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -25 + -4v + -5v = 6 + 5v + -5v Combine like terms: -4v + -5v = -9v -25 + -9v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -25 + -9v = 6 + 0 -25 + -9v = 6 Add '25' to each side of the equation. -25 + 25 + -9v = 6 + 25 Combine like terms: -25 + 25 = 0 0 + -9v = 6 + 25 -9v = 6 + 25 Combine like terms: 6 + 25 = 31 -9v = 31 Divide each side by '-9'. v = -3.444444444 Simplifying v = -3.444444444
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