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Simplifying -8 + -5(4v + -5) = -2v + -37 Reorder the terms: -8 + -5(-5 + 4v) = -2v + -37 -8 + (-5 * -5 + 4v * -5) = -2v + -37 -8 + (25 + -20v) = -2v + -37 Combine like terms: -8 + 25 = 17 17 + -20v = -2v + -37 Reorder the terms: 17 + -20v = -37 + -2v Solving 17 + -20v = -37 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 17 + -20v + 2v = -37 + -2v + 2v Combine like terms: -20v + 2v = -18v 17 + -18v = -37 + -2v + 2v Combine like terms: -2v + 2v = 0 17 + -18v = -37 + 0 17 + -18v = -37 Add '-17' to each side of the equation. 17 + -17 + -18v = -37 + -17 Combine like terms: 17 + -17 = 0 0 + -18v = -37 + -17 -18v = -37 + -17 Combine like terms: -37 + -17 = -54 -18v = -54 Divide each side by '-18'. v = 3 Simplifying v = 3
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