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Simplifying -7(v + -5) = -4v + 14 Reorder the terms: -7(-5 + v) = -4v + 14 (-5 * -7 + v * -7) = -4v + 14 (35 + -7v) = -4v + 14 Reorder the terms: 35 + -7v = 14 + -4v Solving 35 + -7v = 14 + -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 = 14 + -4v + 4v Combine like terms: -7v + 4v = -3v 35 + -3v = 14 + -4v + 4v Combine like terms: -4v + 4v = 0 35 + -3v = 14 + 0 35 + -3v = 14 Add '-35' to each side of the equation. 35 + -35 + -3v = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -3v = 14 + -35 -3v = 14 + -35 Combine like terms: 14 + -35 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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