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Simplifying -7 + 7v = -3(v + -1) Reorder the terms: -7 + 7v = -3(-1 + v) -7 + 7v = (-1 * -3 + v * -3) -7 + 7v = (3 + -3v) Solving -7 + 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. -7 + 7v + 3v = 3 + -3v + 3v Combine like terms: 7v + 3v = 10v -7 + 10v = 3 + -3v + 3v Combine like terms: -3v + 3v = 0 -7 + 10v = 3 + 0 -7 + 10v = 3 Add '7' to each side of the equation. -7 + 7 + 10v = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 10v = 3 + 7 10v = 3 + 7 Combine like terms: 3 + 7 = 10 10v = 10 Divide each side by '10'. v = 1 Simplifying v = 1
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