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Simplifying 3(v + 20) + -10 = 83 Reorder the terms: 3(20 + v) + -10 = 83 (20 * 3 + v * 3) + -10 = 83 (60 + 3v) + -10 = 83 Reorder the terms: 60 + -10 + 3v = 83 Combine like terms: 60 + -10 = 50 50 + 3v = 83 Solving 50 + 3v = 83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 3v = 83 + -50 Combine like terms: 50 + -50 = 0 0 + 3v = 83 + -50 3v = 83 + -50 Combine like terms: 83 + -50 = 33 3v = 33 Divide each side by '3'. v = 11 Simplifying v = 11
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