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Simplifying -7(-4v + 7) + -1v = 5v + 39 Reorder the terms: -7(7 + -4v) + -1v = 5v + 39 (7 * -7 + -4v * -7) + -1v = 5v + 39 (-49 + 28v) + -1v = 5v + 39 Combine like terms: 28v + -1v = 27v -49 + 27v = 5v + 39 Reorder the terms: -49 + 27v = 39 + 5v Solving -49 + 27v = 39 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -49 + 27v + -5v = 39 + 5v + -5v Combine like terms: 27v + -5v = 22v -49 + 22v = 39 + 5v + -5v Combine like terms: 5v + -5v = 0 -49 + 22v = 39 + 0 -49 + 22v = 39 Add '49' to each side of the equation. -49 + 49 + 22v = 39 + 49 Combine like terms: -49 + 49 = 0 0 + 22v = 39 + 49 22v = 39 + 49 Combine like terms: 39 + 49 = 88 22v = 88 Divide each side by '22'. v = 4 Simplifying v = 4
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