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Simplifying -26 + -7v = -8v + -2(7v + -2) Reorder the terms: -26 + -7v = -8v + -2(-2 + 7v) -26 + -7v = -8v + (-2 * -2 + 7v * -2) -26 + -7v = -8v + (4 + -14v) Reorder the terms: -26 + -7v = 4 + -8v + -14v Combine like terms: -8v + -14v = -22v -26 + -7v = 4 + -22v Solving -26 + -7v = 4 + -22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22v' to each side of the equation. -26 + -7v + 22v = 4 + -22v + 22v Combine like terms: -7v + 22v = 15v -26 + 15v = 4 + -22v + 22v Combine like terms: -22v + 22v = 0 -26 + 15v = 4 + 0 -26 + 15v = 4 Add '26' to each side of the equation. -26 + 26 + 15v = 4 + 26 Combine like terms: -26 + 26 = 0 0 + 15v = 4 + 26 15v = 4 + 26 Combine like terms: 4 + 26 = 30 15v = 30 Divide each side by '15'. v = 2 Simplifying v = 2
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