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Simplifying 1.5(v + 10) = 127.5 Reorder the terms: 1.5(10 + v) = 127.5 (10 * 1.5 + v * 1.5) = 127.5 (15 + 1.5v) = 127.5 Solving 15 + 1.5v = 127.5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1.5v = 127.5 + -15 Combine like terms: 15 + -15 = 0 0 + 1.5v = 127.5 + -15 1.5v = 127.5 + -15 Combine like terms: 127.5 + -15 = 112.5 1.5v = 112.5 Divide each side by '1.5'. v = 75 Simplifying v = 75
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