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Simplifying -7v + 2 = -3(v + -2) Reorder the terms: 2 + -7v = -3(v + -2) Reorder the terms: 2 + -7v = -3(-2 + v) 2 + -7v = (-2 * -3 + v * -3) 2 + -7v = (6 + -3v) Solving 2 + -7v = 6 + -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. 2 + -7v + 3v = 6 + -3v + 3v Combine like terms: -7v + 3v = -4v 2 + -4v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 2 + -4v = 6 + 0 2 + -4v = 6 Add '-2' to each side of the equation. 2 + -2 + -4v = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4v = 6 + -2 -4v = 6 + -2 Combine like terms: 6 + -2 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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