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Simplifying 7(v + 3) + -10(5v + -1) = 0 Reorder the terms: 7(3 + v) + -10(5v + -1) = 0 (3 * 7 + v * 7) + -10(5v + -1) = 0 (21 + 7v) + -10(5v + -1) = 0 Reorder the terms: 21 + 7v + -10(-1 + 5v) = 0 21 + 7v + (-1 * -10 + 5v * -10) = 0 21 + 7v + (10 + -50v) = 0 Reorder the terms: 21 + 10 + 7v + -50v = 0 Combine like terms: 21 + 10 = 31 31 + 7v + -50v = 0 Combine like terms: 7v + -50v = -43v 31 + -43v = 0 Solving 31 + -43v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -43v = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -43v = 0 + -31 -43v = 0 + -31 Combine like terms: 0 + -31 = -31 -43v = -31 Divide each side by '-43'. v = 0.7209302326 Simplifying v = 0.7209302326
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