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Simplifying -1(-6v + -8) + 8v = 7v + -27 Reorder the terms: -1(-8 + -6v) + 8v = 7v + -27 (-8 * -1 + -6v * -1) + 8v = 7v + -27 (8 + 6v) + 8v = 7v + -27 Combine like terms: 6v + 8v = 14v 8 + 14v = 7v + -27 Reorder the terms: 8 + 14v = -27 + 7v Solving 8 + 14v = -27 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 8 + 14v + -7v = -27 + 7v + -7v Combine like terms: 14v + -7v = 7v 8 + 7v = -27 + 7v + -7v Combine like terms: 7v + -7v = 0 8 + 7v = -27 + 0 8 + 7v = -27 Add '-8' to each side of the equation. 8 + -8 + 7v = -27 + -8 Combine like terms: 8 + -8 = 0 0 + 7v = -27 + -8 7v = -27 + -8 Combine like terms: -27 + -8 = -35 7v = -35 Divide each side by '7'. v = -5 Simplifying v = -5
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