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Simplifying 2(v + 3) + -26 = 7(1 + -1v) Reorder the terms: 2(3 + v) + -26 = 7(1 + -1v) (3 * 2 + v * 2) + -26 = 7(1 + -1v) (6 + 2v) + -26 = 7(1 + -1v) Reorder the terms: 6 + -26 + 2v = 7(1 + -1v) Combine like terms: 6 + -26 = -20 -20 + 2v = 7(1 + -1v) -20 + 2v = (1 * 7 + -1v * 7) -20 + 2v = (7 + -7v) Solving -20 + 2v = 7 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -20 + 2v + 7v = 7 + -7v + 7v Combine like terms: 2v + 7v = 9v -20 + 9v = 7 + -7v + 7v Combine like terms: -7v + 7v = 0 -20 + 9v = 7 + 0 -20 + 9v = 7 Add '20' to each side of the equation. -20 + 20 + 9v = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 9v = 7 + 20 9v = 7 + 20 Combine like terms: 7 + 20 = 27 9v = 27 Divide each side by '9'. v = 3 Simplifying v = 3
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