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Simplifying -5v + -1(5 + -8v) = -1(v + -7) -5v + (5 * -1 + -8v * -1) = -1(v + -7) -5v + (-5 + 8v) = -1(v + -7) Reorder the terms: -5 + -5v + 8v = -1(v + -7) Combine like terms: -5v + 8v = 3v -5 + 3v = -1(v + -7) Reorder the terms: -5 + 3v = -1(-7 + v) -5 + 3v = (-7 * -1 + v * -1) -5 + 3v = (7 + -1v) Solving -5 + 3v = 7 + -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. -5 + 3v + v = 7 + -1v + v Combine like terms: 3v + v = 4v -5 + 4v = 7 + -1v + v Combine like terms: -1v + v = 0 -5 + 4v = 7 + 0 -5 + 4v = 7 Add '5' to each side of the equation. -5 + 5 + 4v = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4v = 7 + 5 4v = 7 + 5 Combine like terms: 7 + 5 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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