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Simplifying -1(5 + -7v) + 4(3v + 7) = -72 (5 * -1 + -7v * -1) + 4(3v + 7) = -72 (-5 + 7v) + 4(3v + 7) = -72 Reorder the terms: -5 + 7v + 4(7 + 3v) = -72 -5 + 7v + (7 * 4 + 3v * 4) = -72 -5 + 7v + (28 + 12v) = -72 Reorder the terms: -5 + 28 + 7v + 12v = -72 Combine like terms: -5 + 28 = 23 23 + 7v + 12v = -72 Combine like terms: 7v + 12v = 19v 23 + 19v = -72 Solving 23 + 19v = -72 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 19v = -72 + -23 Combine like terms: 23 + -23 = 0 0 + 19v = -72 + -23 19v = -72 + -23 Combine like terms: -72 + -23 = -95 19v = -95 Divide each side by '19'. v = -5 Simplifying v = -5
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