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Simplifying -9v + 9(5v + 7) = 9(4 + v) Reorder the terms: -9v + 9(7 + 5v) = 9(4 + v) -9v + (7 * 9 + 5v * 9) = 9(4 + v) -9v + (63 + 45v) = 9(4 + v) Reorder the terms: 63 + -9v + 45v = 9(4 + v) Combine like terms: -9v + 45v = 36v 63 + 36v = 9(4 + v) 63 + 36v = (4 * 9 + v * 9) 63 + 36v = (36 + 9v) Solving 63 + 36v = 36 + 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. 63 + 36v + -9v = 36 + 9v + -9v Combine like terms: 36v + -9v = 27v 63 + 27v = 36 + 9v + -9v Combine like terms: 9v + -9v = 0 63 + 27v = 36 + 0 63 + 27v = 36 Add '-63' to each side of the equation. 63 + -63 + 27v = 36 + -63 Combine like terms: 63 + -63 = 0 0 + 27v = 36 + -63 27v = 36 + -63 Combine like terms: 36 + -63 = -27 27v = -27 Divide each side by '27'. v = -1 Simplifying v = -1
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