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Simplifying 27 + v = -1(4v + 8) Reorder the terms: 27 + v = -1(8 + 4v) 27 + v = (8 * -1 + 4v * -1) 27 + v = (-8 + -4v) Solving 27 + v = -8 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 27 + v + 4v = -8 + -4v + 4v Combine like terms: v + 4v = 5v 27 + 5v = -8 + -4v + 4v Combine like terms: -4v + 4v = 0 27 + 5v = -8 + 0 27 + 5v = -8 Add '-27' to each side of the equation. 27 + -27 + 5v = -8 + -27 Combine like terms: 27 + -27 = 0 0 + 5v = -8 + -27 5v = -8 + -27 Combine like terms: -8 + -27 = -35 5v = -35 Divide each side by '5'. v = -7 Simplifying v = -7
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