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Simplifying 6(3 + -8v) + 12 = -54 (3 * 6 + -8v * 6) + 12 = -54 (18 + -48v) + 12 = -54 Reorder the terms: 18 + 12 + -48v = -54 Combine like terms: 18 + 12 = 30 30 + -48v = -54 Solving 30 + -48v = -54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -48v = -54 + -30 Combine like terms: 30 + -30 = 0 0 + -48v = -54 + -30 -48v = -54 + -30 Combine like terms: -54 + -30 = -84 -48v = -84 Divide each side by '-48'. v = 1.75 Simplifying v = 1.75
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