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Simplifying -5(v + -7) = 5v + -15 Reorder the terms: -5(-7 + v) = 5v + -15 (-7 * -5 + v * -5) = 5v + -15 (35 + -5v) = 5v + -15 Reorder the terms: 35 + -5v = -15 + 5v Solving 35 + -5v = -15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 35 + -5v + -5v = -15 + 5v + -5v Combine like terms: -5v + -5v = -10v 35 + -10v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 35 + -10v = -15 + 0 35 + -10v = -15 Add '-35' to each side of the equation. 35 + -35 + -10v = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -10v = -15 + -35 -10v = -15 + -35 Combine like terms: -15 + -35 = -50 -10v = -50 Divide each side by '-10'. v = 5 Simplifying v = 5
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