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Simplifying 8 + -2(3 + -5v) = v + 20 8 + (3 * -2 + -5v * -2) = v + 20 8 + (-6 + 10v) = v + 20 Combine like terms: 8 + -6 = 2 2 + 10v = v + 20 Reorder the terms: 2 + 10v = 20 + v Solving 2 + 10v = 20 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 2 + 10v + -1v = 20 + v + -1v Combine like terms: 10v + -1v = 9v 2 + 9v = 20 + v + -1v Combine like terms: v + -1v = 0 2 + 9v = 20 + 0 2 + 9v = 20 Add '-2' to each side of the equation. 2 + -2 + 9v = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 9v = 20 + -2 9v = 20 + -2 Combine like terms: 20 + -2 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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