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Simplifying 6(5 + -8v) + 12 = 51 (5 * 6 + -8v * 6) + 12 = 51 (30 + -48v) + 12 = 51 Reorder the terms: 30 + 12 + -48v = 51 Combine like terms: 30 + 12 = 42 42 + -48v = 51 Solving 42 + -48v = 51 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 = 51 + -42 Combine like terms: 42 + -42 = 0 0 + -48v = 51 + -42 -48v = 51 + -42 Combine like terms: 51 + -42 = 9 -48v = 9 Divide each side by '-48'. v = -0.1875 Simplifying v = -0.1875
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