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Simplifying -1(5v + 5) = -7(3v + 5) + -2 Reorder the terms: -1(5 + 5v) = -7(3v + 5) + -2 (5 * -1 + 5v * -1) = -7(3v + 5) + -2 (-5 + -5v) = -7(3v + 5) + -2 Reorder the terms: -5 + -5v = -7(5 + 3v) + -2 -5 + -5v = (5 * -7 + 3v * -7) + -2 -5 + -5v = (-35 + -21v) + -2 Reorder the terms: -5 + -5v = -35 + -2 + -21v Combine like terms: -35 + -2 = -37 -5 + -5v = -37 + -21v Solving -5 + -5v = -37 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -5 + -5v + 21v = -37 + -21v + 21v Combine like terms: -5v + 21v = 16v -5 + 16v = -37 + -21v + 21v Combine like terms: -21v + 21v = 0 -5 + 16v = -37 + 0 -5 + 16v = -37 Add '5' to each side of the equation. -5 + 5 + 16v = -37 + 5 Combine like terms: -5 + 5 = 0 0 + 16v = -37 + 5 16v = -37 + 5 Combine like terms: -37 + 5 = -32 16v = -32 Divide each side by '16'. v = -2 Simplifying v = -2
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