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Simplifying 7 + 2(5v + -9) = -2(4v + -2) + 9v Reorder the terms: 7 + 2(-9 + 5v) = -2(4v + -2) + 9v 7 + (-9 * 2 + 5v * 2) = -2(4v + -2) + 9v 7 + (-18 + 10v) = -2(4v + -2) + 9v Combine like terms: 7 + -18 = -11 -11 + 10v = -2(4v + -2) + 9v Reorder the terms: -11 + 10v = -2(-2 + 4v) + 9v -11 + 10v = (-2 * -2 + 4v * -2) + 9v -11 + 10v = (4 + -8v) + 9v Combine like terms: -8v + 9v = 1v -11 + 10v = 4 + 1v Solving -11 + 10v = 4 + 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. -11 + 10v + -1v = 4 + 1v + -1v Combine like terms: 10v + -1v = 9v -11 + 9v = 4 + 1v + -1v Combine like terms: 1v + -1v = 0 -11 + 9v = 4 + 0 -11 + 9v = 4 Add '11' to each side of the equation. -11 + 11 + 9v = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 9v = 4 + 11 9v = 4 + 11 Combine like terms: 4 + 11 = 15 9v = 15 Divide each side by '9'. v = 1.666666667 Simplifying v = 1.666666667
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