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Simplifying -4(7v + -1) = -27 + 3v Reorder the terms: -4(-1 + 7v) = -27 + 3v (-1 * -4 + 7v * -4) = -27 + 3v (4 + -28v) = -27 + 3v Solving 4 + -28v = -27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 4 + -28v + -3v = -27 + 3v + -3v Combine like terms: -28v + -3v = -31v 4 + -31v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 4 + -31v = -27 + 0 4 + -31v = -27 Add '-4' to each side of the equation. 4 + -4 + -31v = -27 + -4 Combine like terms: 4 + -4 = 0 0 + -31v = -27 + -4 -31v = -27 + -4 Combine like terms: -27 + -4 = -31 -31v = -31 Divide each side by '-31'. v = 1 Simplifying v = 1
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