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Simplifying 8(V + 4) + -2v = 2(3v + 1) + -11 Reorder the terms: 8(4 + V) + -2v = 2(3v + 1) + -11 (4 * 8 + V * 8) + -2v = 2(3v + 1) + -11 (32 + 8V) + -2v = 2(3v + 1) + -11 Reorder the terms: 32 + 8V + -2v = 2(1 + 3v) + -11 32 + 8V + -2v = (1 * 2 + 3v * 2) + -11 32 + 8V + -2v = (2 + 6v) + -11 Reorder the terms: 32 + 8V + -2v = 2 + -11 + 6v Combine like terms: 2 + -11 = -9 32 + 8V + -2v = -9 + 6v Solving 32 + 8V + -2v = -9 + 6v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8V + -32 + -2v = -9 + -32 + 6v Reorder the terms: 32 + -32 + 8V + -2v = -9 + -32 + 6v Combine like terms: 32 + -32 = 0 0 + 8V + -2v = -9 + -32 + 6v 8V + -2v = -9 + -32 + 6v Combine like terms: -9 + -32 = -41 8V + -2v = -41 + 6v Add '2v' to each side of the equation. 8V + -2v + 2v = -41 + 6v + 2v Combine like terms: -2v + 2v = 0 8V + 0 = -41 + 6v + 2v 8V = -41 + 6v + 2v Combine like terms: 6v + 2v = 8v 8V = -41 + 8v Divide each side by '8'. V = -5.125 + v Simplifying V = -5.125 + v
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