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Simplifying 2(5 + -4v) + 2V = -54 (5 * 2 + -4v * 2) + 2V = -54 (10 + -8v) + 2V = -54 Reorder the terms: 10 + 2V + -8v = -54 Solving 10 + 2V + -8v = -54 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2V + -10 + -8v = -54 + -10 Reorder the terms: 10 + -10 + 2V + -8v = -54 + -10 Combine like terms: 10 + -10 = 0 0 + 2V + -8v = -54 + -10 2V + -8v = -54 + -10 Combine like terms: -54 + -10 = -64 2V + -8v = -64 Add '8v' to each side of the equation. 2V + -8v + 8v = -64 + 8v Combine like terms: -8v + 8v = 0 2V + 0 = -64 + 8v 2V = -64 + 8v Divide each side by '2'. V = -32 + 4v Simplifying V = -32 + 4v
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