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