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Simplifying 2v + -8 + -2 = (12v + 4) + 7(2v + -10) Reorder the terms: -8 + -2 + 2v = (12v + 4) + 7(2v + -10) Combine like terms: -8 + -2 = -10 -10 + 2v = (12v + 4) + 7(2v + -10) Reorder the terms: -10 + 2v = (4 + 12v) + 7(2v + -10) Remove parenthesis around (4 + 12v) -10 + 2v = 4 + 12v + 7(2v + -10) Reorder the terms: -10 + 2v = 4 + 12v + 7(-10 + 2v) -10 + 2v = 4 + 12v + (-10 * 7 + 2v * 7) -10 + 2v = 4 + 12v + (-70 + 14v) Reorder the terms: -10 + 2v = 4 + -70 + 12v + 14v Combine like terms: 4 + -70 = -66 -10 + 2v = -66 + 12v + 14v Combine like terms: 12v + 14v = 26v -10 + 2v = -66 + 26v Solving -10 + 2v = -66 + 26v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-26v' to each side of the equation. -10 + 2v + -26v = -66 + 26v + -26v Combine like terms: 2v + -26v = -24v -10 + -24v = -66 + 26v + -26v Combine like terms: 26v + -26v = 0 -10 + -24v = -66 + 0 -10 + -24v = -66 Add '10' to each side of the equation. -10 + 10 + -24v = -66 + 10 Combine like terms: -10 + 10 = 0 0 + -24v = -66 + 10 -24v = -66 + 10 Combine like terms: -66 + 10 = -56 -24v = -56 Divide each side by '-24'. v = 2.333333333 Simplifying v = 2.333333333
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