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Simplifying 3(2v + 3) = 5 + -4(3 + -1v) Reorder the terms: 3(3 + 2v) = 5 + -4(3 + -1v) (3 * 3 + 2v * 3) = 5 + -4(3 + -1v) (9 + 6v) = 5 + -4(3 + -1v) 9 + 6v = 5 + (3 * -4 + -1v * -4) 9 + 6v = 5 + (-12 + 4v) Combine like terms: 5 + -12 = -7 9 + 6v = -7 + 4v Solving 9 + 6v = -7 + 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. 9 + 6v + -4v = -7 + 4v + -4v Combine like terms: 6v + -4v = 2v 9 + 2v = -7 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + 2v = -7 + 0 9 + 2v = -7 Add '-9' to each side of the equation. 9 + -9 + 2v = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = -7 + -9 2v = -7 + -9 Combine like terms: -7 + -9 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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