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Simplifying 8(8v + 5) = -3v + 40 Reorder the terms: 8(5 + 8v) = -3v + 40 (5 * 8 + 8v * 8) = -3v + 40 (40 + 64v) = -3v + 40 Reorder the terms: 40 + 64v = 40 + -3v Add '-40' to each side of the equation. 40 + -40 + 64v = 40 + -40 + -3v Combine like terms: 40 + -40 = 0 0 + 64v = 40 + -40 + -3v 64v = 40 + -40 + -3v Combine like terms: 40 + -40 = 0 64v = 0 + -3v 64v = -3v Solving 64v = -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. 64v + 3v = -3v + 3v Combine like terms: 64v + 3v = 67v 67v = -3v + 3v Combine like terms: -3v + 3v = 0 67v = 0 Divide each side by '67'. v = 0 Simplifying v = 0
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