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Simplifying 4(6v + 4) + -5 = -27 + 5v Reorder the terms: 4(4 + 6v) + -5 = -27 + 5v (4 * 4 + 6v * 4) + -5 = -27 + 5v (16 + 24v) + -5 = -27 + 5v Reorder the terms: 16 + -5 + 24v = -27 + 5v Combine like terms: 16 + -5 = 11 11 + 24v = -27 + 5v Solving 11 + 24v = -27 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 11 + 24v + -5v = -27 + 5v + -5v Combine like terms: 24v + -5v = 19v 11 + 19v = -27 + 5v + -5v Combine like terms: 5v + -5v = 0 11 + 19v = -27 + 0 11 + 19v = -27 Add '-11' to each side of the equation. 11 + -11 + 19v = -27 + -11 Combine like terms: 11 + -11 = 0 0 + 19v = -27 + -11 19v = -27 + -11 Combine like terms: -27 + -11 = -38 19v = -38 Divide each side by '19'. v = -2 Simplifying v = -2
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