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Simplifying -3(9v + -3) + 2v = -7(v + 1) Reorder the terms: -3(-3 + 9v) + 2v = -7(v + 1) (-3 * -3 + 9v * -3) + 2v = -7(v + 1) (9 + -27v) + 2v = -7(v + 1) Combine like terms: -27v + 2v = -25v 9 + -25v = -7(v + 1) Reorder the terms: 9 + -25v = -7(1 + v) 9 + -25v = (1 * -7 + v * -7) 9 + -25v = (-7 + -7v) Solving 9 + -25v = -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. 9 + -25v + 7v = -7 + -7v + 7v Combine like terms: -25v + 7v = -18v 9 + -18v = -7 + -7v + 7v Combine like terms: -7v + 7v = 0 9 + -18v = -7 + 0 9 + -18v = -7 Add '-9' to each side of the equation. 9 + -9 + -18v = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -18v = -7 + -9 -18v = -7 + -9 Combine like terms: -7 + -9 = -16 -18v = -16 Divide each side by '-18'. v = 0.8888888889 Simplifying v = 0.8888888889
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