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Simplifying 6(5 + 8v) + 12 = -54 (5 * 6 + 8v * 6) + 12 = -54 (30 + 48v) + 12 = -54 Reorder the terms: 30 + 12 + 48v = -54 Combine like terms: 30 + 12 = 42 42 + 48v = -54 Solving 42 + 48v = -54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 48v = -54 + -42 Combine like terms: 42 + -42 = 0 0 + 48v = -54 + -42 48v = -54 + -42 Combine like terms: -54 + -42 = -96 48v = -96 Divide each side by '48'. v = -2 Simplifying v = -2
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