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Simplifying -7(v + -4) + 3v + 6 = 8v + 8 Reorder the terms: -7(-4 + v) + 3v + 6 = 8v + 8 (-4 * -7 + v * -7) + 3v + 6 = 8v + 8 (28 + -7v) + 3v + 6 = 8v + 8 Reorder the terms: 28 + 6 + -7v + 3v = 8v + 8 Combine like terms: 28 + 6 = 34 34 + -7v + 3v = 8v + 8 Combine like terms: -7v + 3v = -4v 34 + -4v = 8v + 8 Reorder the terms: 34 + -4v = 8 + 8v Solving 34 + -4v = 8 + 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. 34 + -4v + -8v = 8 + 8v + -8v Combine like terms: -4v + -8v = -12v 34 + -12v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 34 + -12v = 8 + 0 34 + -12v = 8 Add '-34' to each side of the equation. 34 + -34 + -12v = 8 + -34 Combine like terms: 34 + -34 = 0 0 + -12v = 8 + -34 -12v = 8 + -34 Combine like terms: 8 + -34 = -26 -12v = -26 Divide each side by '-12'. v = 2.166666667 Simplifying v = 2.166666667
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