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Simplifying -5(4v + 2) = 23 + -8v Reorder the terms: -5(2 + 4v) = 23 + -8v (2 * -5 + 4v * -5) = 23 + -8v (-10 + -20v) = 23 + -8v Solving -10 + -20v = 23 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -10 + -20v + 8v = 23 + -8v + 8v Combine like terms: -20v + 8v = -12v -10 + -12v = 23 + -8v + 8v Combine like terms: -8v + 8v = 0 -10 + -12v = 23 + 0 -10 + -12v = 23 Add '10' to each side of the equation. -10 + 10 + -12v = 23 + 10 Combine like terms: -10 + 10 = 0 0 + -12v = 23 + 10 -12v = 23 + 10 Combine like terms: 23 + 10 = 33 -12v = 33 Divide each side by '-12'. v = -2.75 Simplifying v = -2.75
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