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Simplifying -5(-6v + 5) + -8v = 4(v + -4) + -1 Reorder the terms: -5(5 + -6v) + -8v = 4(v + -4) + -1 (5 * -5 + -6v * -5) + -8v = 4(v + -4) + -1 (-25 + 30v) + -8v = 4(v + -4) + -1 Combine like terms: 30v + -8v = 22v -25 + 22v = 4(v + -4) + -1 Reorder the terms: -25 + 22v = 4(-4 + v) + -1 -25 + 22v = (-4 * 4 + v * 4) + -1 -25 + 22v = (-16 + 4v) + -1 Reorder the terms: -25 + 22v = -16 + -1 + 4v Combine like terms: -16 + -1 = -17 -25 + 22v = -17 + 4v Solving -25 + 22v = -17 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -25 + 22v + -4v = -17 + 4v + -4v Combine like terms: 22v + -4v = 18v -25 + 18v = -17 + 4v + -4v Combine like terms: 4v + -4v = 0 -25 + 18v = -17 + 0 -25 + 18v = -17 Add '25' to each side of the equation. -25 + 25 + 18v = -17 + 25 Combine like terms: -25 + 25 = 0 0 + 18v = -17 + 25 18v = -17 + 25 Combine like terms: -17 + 25 = 8 18v = 8 Divide each side by '18'. v = 0.4444444444 Simplifying v = 0.4444444444
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