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Simplifying -4(v + 4) + 2v + 5 = 5v + 9 Reorder the terms: -4(4 + v) + 2v + 5 = 5v + 9 (4 * -4 + v * -4) + 2v + 5 = 5v + 9 (-16 + -4v) + 2v + 5 = 5v + 9 Reorder the terms: -16 + 5 + -4v + 2v = 5v + 9 Combine like terms: -16 + 5 = -11 -11 + -4v + 2v = 5v + 9 Combine like terms: -4v + 2v = -2v -11 + -2v = 5v + 9 Reorder the terms: -11 + -2v = 9 + 5v Solving -11 + -2v = 9 + 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 + -2v + -5v = 9 + 5v + -5v Combine like terms: -2v + -5v = -7v -11 + -7v = 9 + 5v + -5v Combine like terms: 5v + -5v = 0 -11 + -7v = 9 + 0 -11 + -7v = 9 Add '11' to each side of the equation. -11 + 11 + -7v = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -7v = 9 + 11 -7v = 9 + 11 Combine like terms: 9 + 11 = 20 -7v = 20 Divide each side by '-7'. v = -2.857142857 Simplifying v = -2.857142857
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