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Simplifying -8(v + 3) + 2v + 6 = 6v + 7 Reorder the terms: -8(3 + v) + 2v + 6 = 6v + 7 (3 * -8 + v * -8) + 2v + 6 = 6v + 7 (-24 + -8v) + 2v + 6 = 6v + 7 Reorder the terms: -24 + 6 + -8v + 2v = 6v + 7 Combine like terms: -24 + 6 = -18 -18 + -8v + 2v = 6v + 7 Combine like terms: -8v + 2v = -6v -18 + -6v = 6v + 7 Reorder the terms: -18 + -6v = 7 + 6v Solving -18 + -6v = 7 + 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. -18 + -6v + -6v = 7 + 6v + -6v Combine like terms: -6v + -6v = -12v -18 + -12v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -18 + -12v = 7 + 0 -18 + -12v = 7 Add '18' to each side of the equation. -18 + 18 + -12v = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -12v = 7 + 18 -12v = 7 + 18 Combine like terms: 7 + 18 = 25 -12v = 25 Divide each side by '-12'. v = -2.083333333 Simplifying v = -2.083333333
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