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Simplifying 3v + 8 + 5v = -4(6 + v) + 2(4 + 3v) Reorder the terms: 8 + 3v + 5v = -4(6 + v) + 2(4 + 3v) Combine like terms: 3v + 5v = 8v 8 + 8v = -4(6 + v) + 2(4 + 3v) 8 + 8v = (6 * -4 + v * -4) + 2(4 + 3v) 8 + 8v = (-24 + -4v) + 2(4 + 3v) 8 + 8v = -24 + -4v + (4 * 2 + 3v * 2) 8 + 8v = -24 + -4v + (8 + 6v) Reorder the terms: 8 + 8v = -24 + 8 + -4v + 6v Combine like terms: -24 + 8 = -16 8 + 8v = -16 + -4v + 6v Combine like terms: -4v + 6v = 2v 8 + 8v = -16 + 2v Solving 8 + 8v = -16 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 8 + 8v + -2v = -16 + 2v + -2v Combine like terms: 8v + -2v = 6v 8 + 6v = -16 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 6v = -16 + 0 8 + 6v = -16 Add '-8' to each side of the equation. 8 + -8 + 6v = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = -16 + -8 6v = -16 + -8 Combine like terms: -16 + -8 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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