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Simplifying V + 8 + -5v = -6(v + 6) + 2(v + -1) Reorder the terms: 8 + V + -5v = -6(v + 6) + 2(v + -1) Reorder the terms: 8 + V + -5v = -6(6 + v) + 2(v + -1) 8 + V + -5v = (6 * -6 + v * -6) + 2(v + -1) 8 + V + -5v = (-36 + -6v) + 2(v + -1) Reorder the terms: 8 + V + -5v = -36 + -6v + 2(-1 + v) 8 + V + -5v = -36 + -6v + (-1 * 2 + v * 2) 8 + V + -5v = -36 + -6v + (-2 + 2v) Reorder the terms: 8 + V + -5v = -36 + -2 + -6v + 2v Combine like terms: -36 + -2 = -38 8 + V + -5v = -38 + -6v + 2v Combine like terms: -6v + 2v = -4v 8 + V + -5v = -38 + -4v Solving 8 + V + -5v = -38 + -4v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + V + -8 + -5v = -38 + -8 + -4v Reorder the terms: 8 + -8 + V + -5v = -38 + -8 + -4v Combine like terms: 8 + -8 = 0 0 + V + -5v = -38 + -8 + -4v V + -5v = -38 + -8 + -4v Combine like terms: -38 + -8 = -46 V + -5v = -46 + -4v Add '5v' to each side of the equation. V + -5v + 5v = -46 + -4v + 5v Combine like terms: -5v + 5v = 0 V + 0 = -46 + -4v + 5v V = -46 + -4v + 5v Combine like terms: -4v + 5v = 1v V = -46 + 1v Simplifying V = -46 + 1v
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