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Simplifying 4(2v + 40) = -3v + -17 Reorder the terms: 4(40 + 2v) = -3v + -17 (40 * 4 + 2v * 4) = -3v + -17 (160 + 8v) = -3v + -17 Reorder the terms: 160 + 8v = -17 + -3v Solving 160 + 8v = -17 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 160 + 8v + 3v = -17 + -3v + 3v Combine like terms: 8v + 3v = 11v 160 + 11v = -17 + -3v + 3v Combine like terms: -3v + 3v = 0 160 + 11v = -17 + 0 160 + 11v = -17 Add '-160' to each side of the equation. 160 + -160 + 11v = -17 + -160 Combine like terms: 160 + -160 = 0 0 + 11v = -17 + -160 11v = -17 + -160 Combine like terms: -17 + -160 = -177 11v = -177 Divide each side by '11'. v = -16.09090909 Simplifying v = -16.09090909
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