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Simplifying -7v + -26 = -9(v + 2) Reorder the terms: -26 + -7v = -9(v + 2) Reorder the terms: -26 + -7v = -9(2 + v) -26 + -7v = (2 * -9 + v * -9) -26 + -7v = (-18 + -9v) Solving -26 + -7v = -18 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -26 + -7v + 9v = -18 + -9v + 9v Combine like terms: -7v + 9v = 2v -26 + 2v = -18 + -9v + 9v Combine like terms: -9v + 9v = 0 -26 + 2v = -18 + 0 -26 + 2v = -18 Add '26' to each side of the equation. -26 + 26 + 2v = -18 + 26 Combine like terms: -26 + 26 = 0 0 + 2v = -18 + 26 2v = -18 + 26 Combine like terms: -18 + 26 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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