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Simplifying (-5v) + -11 = 3(8 + -4v) Reorder the terms: -11 + (-5v) = 3(8 + -4v) -11 + (-5v) = (8 * 3 + -4v * 3) -11 + (-5v) = (24 + -12v) Solving -11 + (-5v) = 24 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -11 + (-5v) + 12v = 24 + -12v + 12v Combine like terms: (-5v) + 12v = 7v -11 + 7v = 24 + -12v + 12v Combine like terms: -12v + 12v = 0 -11 + 7v = 24 + 0 -11 + 7v = 24 Add '11' to each side of the equation. -11 + 11 + 7v = 24 + 11 Combine like terms: -11 + 11 = 0 0 + 7v = 24 + 11 7v = 24 + 11 Combine like terms: 24 + 11 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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