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Simplifying 7(5v + 8) + 4(2v + 5) = 0 Reorder the terms: 7(8 + 5v) + 4(2v + 5) = 0 (8 * 7 + 5v * 7) + 4(2v + 5) = 0 (56 + 35v) + 4(2v + 5) = 0 Reorder the terms: 56 + 35v + 4(5 + 2v) = 0 56 + 35v + (5 * 4 + 2v * 4) = 0 56 + 35v + (20 + 8v) = 0 Reorder the terms: 56 + 20 + 35v + 8v = 0 Combine like terms: 56 + 20 = 76 76 + 35v + 8v = 0 Combine like terms: 35v + 8v = 43v 76 + 43v = 0 Solving 76 + 43v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 43v = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 43v = 0 + -76 43v = 0 + -76 Combine like terms: 0 + -76 = -76 43v = -76 Divide each side by '43'. v = -1.76744186 Simplifying v = -1.76744186
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