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Simplifying -3(7v + -2) + 5(-1v + 8) = 72 Reorder the terms: -3(-2 + 7v) + 5(-1v + 8) = 72 (-2 * -3 + 7v * -3) + 5(-1v + 8) = 72 (6 + -21v) + 5(-1v + 8) = 72 Reorder the terms: 6 + -21v + 5(8 + -1v) = 72 6 + -21v + (8 * 5 + -1v * 5) = 72 6 + -21v + (40 + -5v) = 72 Reorder the terms: 6 + 40 + -21v + -5v = 72 Combine like terms: 6 + 40 = 46 46 + -21v + -5v = 72 Combine like terms: -21v + -5v = -26v 46 + -26v = 72 Solving 46 + -26v = 72 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -26v = 72 + -46 Combine like terms: 46 + -46 = 0 0 + -26v = 72 + -46 -26v = 72 + -46 Combine like terms: 72 + -46 = 26 -26v = 26 Divide each side by '-26'. v = -1 Simplifying v = -1
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