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Simplifying -5(v + -7) = 4v + -10 Reorder the terms: -5(-7 + v) = 4v + -10 (-7 * -5 + v * -5) = 4v + -10 (35 + -5v) = 4v + -10 Reorder the terms: 35 + -5v = -10 + 4v Solving 35 + -5v = -10 + 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 + -5v + -4v = -10 + 4v + -4v Combine like terms: -5v + -4v = -9v 35 + -9v = -10 + 4v + -4v Combine like terms: 4v + -4v = 0 35 + -9v = -10 + 0 35 + -9v = -10 Add '-35' to each side of the equation. 35 + -35 + -9v = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -9v = -10 + -35 -9v = -10 + -35 Combine like terms: -10 + -35 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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