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Simplifying -2(3v + -7) + 8v = 4 + 5(4v + -1) Reorder the terms: -2(-7 + 3v) + 8v = 4 + 5(4v + -1) (-7 * -2 + 3v * -2) + 8v = 4 + 5(4v + -1) (14 + -6v) + 8v = 4 + 5(4v + -1) Combine like terms: -6v + 8v = 2v 14 + 2v = 4 + 5(4v + -1) Reorder the terms: 14 + 2v = 4 + 5(-1 + 4v) 14 + 2v = 4 + (-1 * 5 + 4v * 5) 14 + 2v = 4 + (-5 + 20v) Combine like terms: 4 + -5 = -1 14 + 2v = -1 + 20v Solving 14 + 2v = -1 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 14 + 2v + -20v = -1 + 20v + -20v Combine like terms: 2v + -20v = -18v 14 + -18v = -1 + 20v + -20v Combine like terms: 20v + -20v = 0 14 + -18v = -1 + 0 14 + -18v = -1 Add '-14' to each side of the equation. 14 + -14 + -18v = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -18v = -1 + -14 -18v = -1 + -14 Combine like terms: -1 + -14 = -15 -18v = -15 Divide each side by '-18'. v = 0.8333333333 Simplifying v = 0.8333333333
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