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Simplifying -2(v + 2) + 7 = 3(v + 6) Reorder the terms: -2(2 + v) + 7 = 3(v + 6) (2 * -2 + v * -2) + 7 = 3(v + 6) (-4 + -2v) + 7 = 3(v + 6) Reorder the terms: -4 + 7 + -2v = 3(v + 6) Combine like terms: -4 + 7 = 3 3 + -2v = 3(v + 6) Reorder the terms: 3 + -2v = 3(6 + v) 3 + -2v = (6 * 3 + v * 3) 3 + -2v = (18 + 3v) Solving 3 + -2v = 18 + 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. 3 + -2v + -3v = 18 + 3v + -3v Combine like terms: -2v + -3v = -5v 3 + -5v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 3 + -5v = 18 + 0 3 + -5v = 18 Add '-3' to each side of the equation. 3 + -3 + -5v = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 18 + -3 -5v = 18 + -3 Combine like terms: 18 + -3 = 15 -5v = 15 Divide each side by '-5'. v = -3 Simplifying v = -3
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