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Simplifying 0.75(5v + 11) + -0.25(11 + v) = 0 Reorder the terms: 0.75(11 + 5v) + -0.25(11 + v) = 0 (11 * 0.75 + 5v * 0.75) + -0.25(11 + v) = 0 (8.25 + 3.75v) + -0.25(11 + v) = 0 8.25 + 3.75v + (11 * -0.25 + v * -0.25) = 0 8.25 + 3.75v + (-2.75 + -0.25v) = 0 Reorder the terms: 8.25 + -2.75 + 3.75v + -0.25v = 0 Combine like terms: 8.25 + -2.75 = 5.5 5.5 + 3.75v + -0.25v = 0 Combine like terms: 3.75v + -0.25v = 3.5v 5.5 + 3.5v = 0 Solving 5.5 + 3.5v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + 3.5v = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 3.5v = 0 + -5.5 3.5v = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 3.5v = -5.5 Divide each side by '3.5'. v = -1.571428571 Simplifying v = -1.571428571
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