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Simplifying 2(6v + 3) = 18 + -3(16 + -1v) Reorder the terms: 2(3 + 6v) = 18 + -3(16 + -1v) (3 * 2 + 6v * 2) = 18 + -3(16 + -1v) (6 + 12v) = 18 + -3(16 + -1v) 6 + 12v = 18 + (16 * -3 + -1v * -3) 6 + 12v = 18 + (-48 + 3v) Combine like terms: 18 + -48 = -30 6 + 12v = -30 + 3v Solving 6 + 12v = -30 + 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. 6 + 12v + -3v = -30 + 3v + -3v Combine like terms: 12v + -3v = 9v 6 + 9v = -30 + 3v + -3v Combine like terms: 3v + -3v = 0 6 + 9v = -30 + 0 6 + 9v = -30 Add '-6' to each side of the equation. 6 + -6 + 9v = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 9v = -30 + -6 9v = -30 + -6 Combine like terms: -30 + -6 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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