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Simplifying -5(v + -7) = -7 + 41 Reorder the terms: -5(-7 + v) = -7 + 41 (-7 * -5 + v * -5) = -7 + 41 (35 + -5v) = -7 + 41 Combine like terms: -7 + 41 = 34 35 + -5v = 34 Solving 35 + -5v = 34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -5v = 34 + -35 Combine like terms: 35 + -35 = 0 0 + -5v = 34 + -35 -5v = 34 + -35 Combine like terms: 34 + -35 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2
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