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Simplifying -2(4v + -7) + 5v = 3(v + 8) Reorder the terms: -2(-7 + 4v) + 5v = 3(v + 8) (-7 * -2 + 4v * -2) + 5v = 3(v + 8) (14 + -8v) + 5v = 3(v + 8) Combine like terms: -8v + 5v = -3v 14 + -3v = 3(v + 8) Reorder the terms: 14 + -3v = 3(8 + v) 14 + -3v = (8 * 3 + v * 3) 14 + -3v = (24 + 3v) Solving 14 + -3v = 24 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 14 + -3v + -3v = 24 + 3v + -3v Combine like terms: -3v + -3v = -6v 14 + -6v = 24 + 3v + -3v Combine like terms: 3v + -3v = 0 14 + -6v = 24 + 0 14 + -6v = 24 Add '-14' to each side of the equation. 14 + -14 + -6v = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = 24 + -14 -6v = 24 + -14 Combine like terms: 24 + -14 = 10 -6v = 10 Divide each side by '-6'. v = -1.666666667 Simplifying v = -1.666666667
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