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Simplifying 8(2 + -6v) + 14 = -61 (2 * 8 + -6v * 8) + 14 = -61 (16 + -48v) + 14 = -61 Reorder the terms: 16 + 14 + -48v = -61 Combine like terms: 16 + 14 = 30 30 + -48v = -61 Solving 30 + -48v = -61 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 = -61 + -30 Combine like terms: 30 + -30 = 0 0 + -48v = -61 + -30 -48v = -61 + -30 Combine like terms: -61 + -30 = -91 -48v = -91 Divide each side by '-48'. v = 1.895833333 Simplifying v = 1.895833333
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