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Simplifying 2(v + 7) = -3v + -1 Reorder the terms: 2(7 + v) = -3v + -1 (7 * 2 + v * 2) = -3v + -1 (14 + 2v) = -3v + -1 Reorder the terms: 14 + 2v = -1 + -3v Solving 14 + 2v = -1 + -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. 14 + 2v + 3v = -1 + -3v + 3v Combine like terms: 2v + 3v = 5v 14 + 5v = -1 + -3v + 3v Combine like terms: -3v + 3v = 0 14 + 5v = -1 + 0 14 + 5v = -1 Add '-14' to each side of the equation. 14 + -14 + 5v = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 5v = -1 + -14 5v = -1 + -14 Combine like terms: -1 + -14 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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