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Simplifying 6(5 + -8v) + 2 = -54 (5 * 6 + -8v * 6) + 2 = -54 (30 + -48v) + 2 = -54 Reorder the terms: 30 + 2 + -48v = -54 Combine like terms: 30 + 2 = 32 32 + -48v = -54 Solving 32 + -48v = -54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -48v = -54 + -32 Combine like terms: 32 + -32 = 0 0 + -48v = -54 + -32 -48v = -54 + -32 Combine like terms: -54 + -32 = -86 -48v = -86 Divide each side by '-48'. v = 1.791666667 Simplifying v = 1.791666667
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