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Simplifying -5(8v + 3) = 22 + -7v Reorder the terms: -5(3 + 8v) = 22 + -7v (3 * -5 + 8v * -5) = 22 + -7v (-15 + -40v) = 22 + -7v Solving -15 + -40v = 22 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -15 + -40v + 7v = 22 + -7v + 7v Combine like terms: -40v + 7v = -33v -15 + -33v = 22 + -7v + 7v Combine like terms: -7v + 7v = 0 -15 + -33v = 22 + 0 -15 + -33v = 22 Add '15' to each side of the equation. -15 + 15 + -33v = 22 + 15 Combine like terms: -15 + 15 = 0 0 + -33v = 22 + 15 -33v = 22 + 15 Combine like terms: 22 + 15 = 37 -33v = 37 Divide each side by '-33'. v = -1.121212121 Simplifying v = -1.121212121
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