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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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