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Simplifying -2(v + -3) + 1 = 23 + -4v Reorder the terms: -2(-3 + v) + 1 = 23 + -4v (-3 * -2 + v * -2) + 1 = 23 + -4v (6 + -2v) + 1 = 23 + -4v Reorder the terms: 6 + 1 + -2v = 23 + -4v Combine like terms: 6 + 1 = 7 7 + -2v = 23 + -4v Solving 7 + -2v = 23 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 7 + -2v + 4v = 23 + -4v + 4v Combine like terms: -2v + 4v = 2v 7 + 2v = 23 + -4v + 4v Combine like terms: -4v + 4v = 0 7 + 2v = 23 + 0 7 + 2v = 23 Add '-7' to each side of the equation. 7 + -7 + 2v = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 2v = 23 + -7 2v = 23 + -7 Combine like terms: 23 + -7 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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