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Simplifying 7(v + 4) = -4(2v + -9) + 9v Reorder the terms: 7(4 + v) = -4(2v + -9) + 9v (4 * 7 + v * 7) = -4(2v + -9) + 9v (28 + 7v) = -4(2v + -9) + 9v Reorder the terms: 28 + 7v = -4(-9 + 2v) + 9v 28 + 7v = (-9 * -4 + 2v * -4) + 9v 28 + 7v = (36 + -8v) + 9v Combine like terms: -8v + 9v = 1v 28 + 7v = 36 + 1v Solving 28 + 7v = 36 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 28 + 7v + -1v = 36 + 1v + -1v Combine like terms: 7v + -1v = 6v 28 + 6v = 36 + 1v + -1v Combine like terms: 1v + -1v = 0 28 + 6v = 36 + 0 28 + 6v = 36 Add '-28' to each side of the equation. 28 + -28 + 6v = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 6v = 36 + -28 6v = 36 + -28 Combine like terms: 36 + -28 = 8 6v = 8 Divide each side by '6'. v = 1.333333333 Simplifying v = 1.333333333
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