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Simplifying -8(5 + 8v) + -3 = 20 + -1v (5 * -8 + 8v * -8) + -3 = 20 + -1v (-40 + -64v) + -3 = 20 + -1v Reorder the terms: -40 + -3 + -64v = 20 + -1v Combine like terms: -40 + -3 = -43 -43 + -64v = 20 + -1v Solving -43 + -64v = 20 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -43 + -64v + v = 20 + -1v + v Combine like terms: -64v + v = -63v -43 + -63v = 20 + -1v + v Combine like terms: -1v + v = 0 -43 + -63v = 20 + 0 -43 + -63v = 20 Add '43' to each side of the equation. -43 + 43 + -63v = 20 + 43 Combine like terms: -43 + 43 = 0 0 + -63v = 20 + 43 -63v = 20 + 43 Combine like terms: 20 + 43 = 63 -63v = 63 Divide each side by '-63'. v = -1 Simplifying v = -1
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