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Simplifying 6 + 24v + -1(-11 + -1v) = 42 6 + 24v + (-11 * -1 + -1v * -1) = 42 6 + 24v + (11 + 1v) = 42 Reorder the terms: 6 + 11 + 24v + 1v = 42 Combine like terms: 6 + 11 = 17 17 + 24v + 1v = 42 Combine like terms: 24v + 1v = 25v 17 + 25v = 42 Solving 17 + 25v = 42 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 25v = 42 + -17 Combine like terms: 17 + -17 = 0 0 + 25v = 42 + -17 25v = 42 + -17 Combine like terms: 42 + -17 = 25 25v = 25 Divide each side by '25'. v = 1 Simplifying v = 1
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