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Simplifying -1(7v + 7) = 5 + -4v Reorder the terms: -1(7 + 7v) = 5 + -4v (7 * -1 + 7v * -1) = 5 + -4v (-7 + -7v) = 5 + -4v Solving -7 + -7v = 5 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -7 + -7v + 4v = 5 + -4v + 4v Combine like terms: -7v + 4v = -3v -7 + -3v = 5 + -4v + 4v Combine like terms: -4v + 4v = 0 -7 + -3v = 5 + 0 -7 + -3v = 5 Add '7' to each side of the equation. -7 + 7 + -3v = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = 5 + 7 -3v = 5 + 7 Combine like terms: 5 + 7 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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