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Simplifying -11(2v + -5) + 7v = 2(-12v + -4) Reorder the terms: -11(-5 + 2v) + 7v = 2(-12v + -4) (-5 * -11 + 2v * -11) + 7v = 2(-12v + -4) (55 + -22v) + 7v = 2(-12v + -4) Combine like terms: -22v + 7v = -15v 55 + -15v = 2(-12v + -4) Reorder the terms: 55 + -15v = 2(-4 + -12v) 55 + -15v = (-4 * 2 + -12v * 2) 55 + -15v = (-8 + -24v) Solving 55 + -15v = -8 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. 55 + -15v + 24v = -8 + -24v + 24v Combine like terms: -15v + 24v = 9v 55 + 9v = -8 + -24v + 24v Combine like terms: -24v + 24v = 0 55 + 9v = -8 + 0 55 + 9v = -8 Add '-55' to each side of the equation. 55 + -55 + 9v = -8 + -55 Combine like terms: 55 + -55 = 0 0 + 9v = -8 + -55 9v = -8 + -55 Combine like terms: -8 + -55 = -63 9v = -63 Divide each side by '9'. v = -7 Simplifying v = -7
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