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Simplifying -6(v + 3) + 3v + 7 = 8v + 11 Reorder the terms: -6(3 + v) + 3v + 7 = 8v + 11 (3 * -6 + v * -6) + 3v + 7 = 8v + 11 (-18 + -6v) + 3v + 7 = 8v + 11 Reorder the terms: -18 + 7 + -6v + 3v = 8v + 11 Combine like terms: -18 + 7 = -11 -11 + -6v + 3v = 8v + 11 Combine like terms: -6v + 3v = -3v -11 + -3v = 8v + 11 Reorder the terms: -11 + -3v = 11 + 8v Solving -11 + -3v = 11 + 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. -11 + -3v + -8v = 11 + 8v + -8v Combine like terms: -3v + -8v = -11v -11 + -11v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 -11 + -11v = 11 + 0 -11 + -11v = 11 Add '11' to each side of the equation. -11 + 11 + -11v = 11 + 11 Combine like terms: -11 + 11 = 0 0 + -11v = 11 + 11 -11v = 11 + 11 Combine like terms: 11 + 11 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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