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Simplifying 5 + 3(5v + -1) = -2(2v + -6) + 7v Reorder the terms: 5 + 3(-1 + 5v) = -2(2v + -6) + 7v 5 + (-1 * 3 + 5v * 3) = -2(2v + -6) + 7v 5 + (-3 + 15v) = -2(2v + -6) + 7v Combine like terms: 5 + -3 = 2 2 + 15v = -2(2v + -6) + 7v Reorder the terms: 2 + 15v = -2(-6 + 2v) + 7v 2 + 15v = (-6 * -2 + 2v * -2) + 7v 2 + 15v = (12 + -4v) + 7v Combine like terms: -4v + 7v = 3v 2 + 15v = 12 + 3v Solving 2 + 15v = 12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 2 + 15v + -3v = 12 + 3v + -3v Combine like terms: 15v + -3v = 12v 2 + 12v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 2 + 12v = 12 + 0 2 + 12v = 12 Add '-2' to each side of the equation. 2 + -2 + 12v = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 12v = 12 + -2 12v = 12 + -2 Combine like terms: 12 + -2 = 10 12v = 10 Divide each side by '12'. v = 0.8333333333 Simplifying v = 0.8333333333
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