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