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Simplifying -1(v + 1) = -31 + 4v Reorder the terms: -1(1 + v) = -31 + 4v (1 * -1 + v * -1) = -31 + 4v (-1 + -1v) = -31 + 4v Solving -1 + -1v = -31 + 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. -1 + -1v + -4v = -31 + 4v + -4v Combine like terms: -1v + -4v = -5v -1 + -5v = -31 + 4v + -4v Combine like terms: 4v + -4v = 0 -1 + -5v = -31 + 0 -1 + -5v = -31 Add '1' to each side of the equation. -1 + 1 + -5v = -31 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = -31 + 1 -5v = -31 + 1 Combine like terms: -31 + 1 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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