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Simplifying -2(v + 2) + 7 = 2(v + -3) Reorder the terms: -2(2 + v) + 7 = 2(v + -3) (2 * -2 + v * -2) + 7 = 2(v + -3) (-4 + -2v) + 7 = 2(v + -3) Reorder the terms: -4 + 7 + -2v = 2(v + -3) Combine like terms: -4 + 7 = 3 3 + -2v = 2(v + -3) Reorder the terms: 3 + -2v = 2(-3 + v) 3 + -2v = (-3 * 2 + v * 2) 3 + -2v = (-6 + 2v) Solving 3 + -2v = -6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 3 + -2v + -2v = -6 + 2v + -2v Combine like terms: -2v + -2v = -4v 3 + -4v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 3 + -4v = -6 + 0 3 + -4v = -6 Add '-3' to each side of the equation. 3 + -3 + -4v = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = -6 + -3 -4v = -6 + -3 Combine like terms: -6 + -3 = -9 -4v = -9 Divide each side by '-4'. v = 2.25 Simplifying v = 2.25
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