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Simplifying -8(v + 2) + 2v + 7 = 6v + 7 Reorder the terms: -8(2 + v) + 2v + 7 = 6v + 7 (2 * -8 + v * -8) + 2v + 7 = 6v + 7 (-16 + -8v) + 2v + 7 = 6v + 7 Reorder the terms: -16 + 7 + -8v + 2v = 6v + 7 Combine like terms: -16 + 7 = -9 -9 + -8v + 2v = 6v + 7 Combine like terms: -8v + 2v = -6v -9 + -6v = 6v + 7 Reorder the terms: -9 + -6v = 7 + 6v Solving -9 + -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. -9 + -6v + -6v = 7 + 6v + -6v Combine like terms: -6v + -6v = -12v -9 + -12v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + -12v = 7 + 0 -9 + -12v = 7 Add '9' to each side of the equation. -9 + 9 + -12v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -12v = 7 + 9 -12v = 7 + 9 Combine like terms: 7 + 9 = 16 -12v = 16 Divide each side by '-12'. v = -1.333333333 Simplifying v = -1.333333333
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