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Simplifying -2(8v + -8) + 8v = 7 + 3(2v + -1) Reorder the terms: -2(-8 + 8v) + 8v = 7 + 3(2v + -1) (-8 * -2 + 8v * -2) + 8v = 7 + 3(2v + -1) (16 + -16v) + 8v = 7 + 3(2v + -1) Combine like terms: -16v + 8v = -8v 16 + -8v = 7 + 3(2v + -1) Reorder the terms: 16 + -8v = 7 + 3(-1 + 2v) 16 + -8v = 7 + (-1 * 3 + 2v * 3) 16 + -8v = 7 + (-3 + 6v) Combine like terms: 7 + -3 = 4 16 + -8v = 4 + 6v Solving 16 + -8v = 4 + 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. 16 + -8v + -6v = 4 + 6v + -6v Combine like terms: -8v + -6v = -14v 16 + -14v = 4 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + -14v = 4 + 0 16 + -14v = 4 Add '-16' to each side of the equation. 16 + -16 + -14v = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -14v = 4 + -16 -14v = 4 + -16 Combine like terms: 4 + -16 = -12 -14v = -12 Divide each side by '-14'. v = 0.8571428571 Simplifying v = 0.8571428571
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