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Simplifying 2(v + -8) + -3 = -1(v + 5) Reorder the terms: 2(-8 + v) + -3 = -1(v + 5) (-8 * 2 + v * 2) + -3 = -1(v + 5) (-16 + 2v) + -3 = -1(v + 5) Reorder the terms: -16 + -3 + 2v = -1(v + 5) Combine like terms: -16 + -3 = -19 -19 + 2v = -1(v + 5) Reorder the terms: -19 + 2v = -1(5 + v) -19 + 2v = (5 * -1 + v * -1) -19 + 2v = (-5 + -1v) Solving -19 + 2v = -5 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -19 + 2v + v = -5 + -1v + v Combine like terms: 2v + v = 3v -19 + 3v = -5 + -1v + v Combine like terms: -1v + v = 0 -19 + 3v = -5 + 0 -19 + 3v = -5 Add '19' to each side of the equation. -19 + 19 + 3v = -5 + 19 Combine like terms: -19 + 19 = 0 0 + 3v = -5 + 19 3v = -5 + 19 Combine like terms: -5 + 19 = 14 3v = 14 Divide each side by '3'. v = 4.666666667 Simplifying v = 4.666666667
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