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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 = 4v -7 + 4v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 -7 + 4v = -3 + 0 -7 + 4v = -3 Add '7' to each side of the equation. -7 + 7 + 4v = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 4v = -3 + 7 4v = -3 + 7 Combine like terms: -3 + 7 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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