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