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Simplifying 5(1 + 3v) + 10(2v + 2) = 0 (1 * 5 + 3v * 5) + 10(2v + 2) = 0 (5 + 15v) + 10(2v + 2) = 0 Reorder the terms: 5 + 15v + 10(2 + 2v) = 0 5 + 15v + (2 * 10 + 2v * 10) = 0 5 + 15v + (20 + 20v) = 0 Reorder the terms: 5 + 20 + 15v + 20v = 0 Combine like terms: 5 + 20 = 25 25 + 15v + 20v = 0 Combine like terms: 15v + 20v = 35v 25 + 35v = 0 Solving 25 + 35v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 35v = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 35v = 0 + -25 35v = 0 + -25 Combine like terms: 0 + -25 = -25 35v = -25 Divide each side by '35'. v = -0.7142857143 Simplifying v = -0.7142857143
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