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Simplifying 2(v + 6) = -3v + -3 Reorder the terms: 2(6 + v) = -3v + -3 (6 * 2 + v * 2) = -3v + -3 (12 + 2v) = -3v + -3 Reorder the terms: 12 + 2v = -3 + -3v Solving 12 + 2v = -3 + -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. 12 + 2v + 3v = -3 + -3v + 3v Combine like terms: 2v + 3v = 5v 12 + 5v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 12 + 5v = -3 + 0 12 + 5v = -3 Add '-12' to each side of the equation. 12 + -12 + 5v = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5v = -3 + -12 5v = -3 + -12 Combine like terms: -3 + -12 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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