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Simplifying -2v + -1(v + 8) = 27 + 4v Reorder the terms: -2v + -1(8 + v) = 27 + 4v -2v + (8 * -1 + v * -1) = 27 + 4v -2v + (-8 + -1v) = 27 + 4v Reorder the terms: -8 + -2v + -1v = 27 + 4v Combine like terms: -2v + -1v = -3v -8 + -3v = 27 + 4v Solving -8 + -3v = 27 + 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. -8 + -3v + -4v = 27 + 4v + -4v Combine like terms: -3v + -4v = -7v -8 + -7v = 27 + 4v + -4v Combine like terms: 4v + -4v = 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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