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Simplifying 6(5 + -8v) = 12 + -54 (5 * 6 + -8v * 6) = 12 + -54 (30 + -48v) = 12 + -54 Combine like terms: 12 + -54 = -42 30 + -48v = -42 Solving 30 + -48v = -42 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 = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -48v = -42 + -30 -48v = -42 + -30 Combine like terms: -42 + -30 = -72 -48v = -72 Divide each side by '-48'. v = 1.5 Simplifying v = 1.5
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