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Simplifying -5 + -1(1 + 5v) = 2 + -1v -5 + (1 * -1 + 5v * -1) = 2 + -1v -5 + (-1 + -5v) = 2 + -1v Combine like terms: -5 + -1 = -6 -6 + -5v = 2 + -1v Solving -6 + -5v = 2 + -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. -6 + -5v + v = 2 + -1v + v Combine like terms: -5v + v = -4v -6 + -4v = 2 + -1v + v Combine like terms: -1v + v = 0 -6 + -4v = 2 + 0 -6 + -4v = 2 Add '6' to each side of the equation. -6 + 6 + -4v = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = 2 + 6 -4v = 2 + 6 Combine like terms: 2 + 6 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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