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Simplifying V + 4 + -8 = 6(v + 7) + 2(v + 5) Reorder the terms: 4 + -8 + V = 6(v + 7) + 2(v + 5) Combine like terms: 4 + -8 = -4 -4 + V = 6(v + 7) + 2(v + 5) Reorder the terms: -4 + V = 6(7 + v) + 2(v + 5) -4 + V = (7 * 6 + v * 6) + 2(v + 5) -4 + V = (42 + 6v) + 2(v + 5) Reorder the terms: -4 + V = 42 + 6v + 2(5 + v) -4 + V = 42 + 6v + (5 * 2 + v * 2) -4 + V = 42 + 6v + (10 + 2v) Reorder the terms: -4 + V = 42 + 10 + 6v + 2v Combine like terms: 42 + 10 = 52 -4 + V = 52 + 6v + 2v Combine like terms: 6v + 2v = 8v -4 + V = 52 + 8v Solving -4 + V = 52 + 8v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + V = 52 + 4 + 8v Combine like terms: -4 + 4 = 0 0 + V = 52 + 4 + 8v V = 52 + 4 + 8v Combine like terms: 52 + 4 = 56 V = 56 + 8v Simplifying V = 56 + 8v
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