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Simplifying -2(v + 2) + 7 = (v + 6) Reorder the terms: -2(2 + v) + 7 = (v + 6) (2 * -2 + v * -2) + 7 = (v + 6) (-4 + -2v) + 7 = (v + 6) Reorder the terms: -4 + 7 + -2v = (v + 6) Combine like terms: -4 + 7 = 3 3 + -2v = (v + 6) Reorder the terms: 3 + -2v = (6 + v) Remove parenthesis around (6 + v) 3 + -2v = 6 + v Solving 3 + -2v = 6 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 3 + -2v + -1v = 6 + v + -1v Combine like terms: -2v + -1v = -3v 3 + -3v = 6 + v + -1v Combine like terms: v + -1v = 0 3 + -3v = 6 + 0 3 + -3v = 6 Add '-3' to each side of the equation. 3 + -3 + -3v = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -3v = 6 + -3 -3v = 6 + -3 Combine like terms: 6 + -3 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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