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Simplifying -7(v + -5) = 2v + 8 Reorder the terms: -7(-5 + v) = 2v + 8 (-5 * -7 + v * -7) = 2v + 8 (35 + -7v) = 2v + 8 Reorder the terms: 35 + -7v = 8 + 2v Solving 35 + -7v = 8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 35 + -7v + -2v = 8 + 2v + -2v Combine like terms: -7v + -2v = -9v 35 + -9v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 35 + -9v = 8 + 0 35 + -9v = 8 Add '-35' to each side of the equation. 35 + -35 + -9v = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -9v = 8 + -35 -9v = 8 + -35 Combine like terms: 8 + -35 = -27 -9v = -27 Divide each side by '-9'. v = 3 Simplifying v = 3
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