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Simplifying 2(5 + -3v) + 9v = 67 (5 * 2 + -3v * 2) + 9v = 67 (10 + -6v) + 9v = 67 Combine like terms: -6v + 9v = 3v 10 + 3v = 67 Solving 10 + 3v = 67 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3v = 67 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 67 + -10 3v = 67 + -10 Combine like terms: 67 + -10 = 57 3v = 57 Divide each side by '3'. v = 19 Simplifying v = 19
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