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Simplifying -7(v + 5) = -4v + -44 Reorder the terms: -7(5 + v) = -4v + -44 (5 * -7 + v * -7) = -4v + -44 (-35 + -7v) = -4v + -44 Reorder the terms: -35 + -7v = -44 + -4v Solving -35 + -7v = -44 + -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. -35 + -7v + 4v = -44 + -4v + 4v Combine like terms: -7v + 4v = -3v -35 + -3v = -44 + -4v + 4v Combine like terms: -4v + 4v = 0 -35 + -3v = -44 + 0 -35 + -3v = -44 Add '35' to each side of the equation. -35 + 35 + -3v = -44 + 35 Combine like terms: -35 + 35 = 0 0 + -3v = -44 + 35 -3v = -44 + 35 Combine like terms: -44 + 35 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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