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Simplifying -8(v + 4) + 3v + 7 = 6v + 8 Reorder the terms: -8(4 + v) + 3v + 7 = 6v + 8 (4 * -8 + v * -8) + 3v + 7 = 6v + 8 (-32 + -8v) + 3v + 7 = 6v + 8 Reorder the terms: -32 + 7 + -8v + 3v = 6v + 8 Combine like terms: -32 + 7 = -25 -25 + -8v + 3v = 6v + 8 Combine like terms: -8v + 3v = -5v -25 + -5v = 6v + 8 Reorder the terms: -25 + -5v = 8 + 6v Solving -25 + -5v = 8 + 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. -25 + -5v + -6v = 8 + 6v + -6v Combine like terms: -5v + -6v = -11v -25 + -11v = 8 + 6v + -6v Combine like terms: 6v + -6v = 0 -25 + -11v = 8 + 0 -25 + -11v = 8 Add '25' to each side of the equation. -25 + 25 + -11v = 8 + 25 Combine like terms: -25 + 25 = 0 0 + -11v = 8 + 25 -11v = 8 + 25 Combine like terms: 8 + 25 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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