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Simplifying 8(2 + -6v) + 19 = -61 (2 * 8 + -6v * 8) + 19 = -61 (16 + -48v) + 19 = -61 Reorder the terms: 16 + 19 + -48v = -61 Combine like terms: 16 + 19 = 35 35 + -48v = -61 Solving 35 + -48v = -61 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -48v = -61 + -35 Combine like terms: 35 + -35 = 0 0 + -48v = -61 + -35 -48v = -61 + -35 Combine like terms: -61 + -35 = -96 -48v = -96 Divide each side by '-48'. v = 2 Simplifying v = 2
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