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Simplifying 9 + 3(5v + -5) = -2(4v + -6) + 9v Reorder the terms: 9 + 3(-5 + 5v) = -2(4v + -6) + 9v 9 + (-5 * 3 + 5v * 3) = -2(4v + -6) + 9v 9 + (-15 + 15v) = -2(4v + -6) + 9v Combine like terms: 9 + -15 = -6 -6 + 15v = -2(4v + -6) + 9v Reorder the terms: -6 + 15v = -2(-6 + 4v) + 9v -6 + 15v = (-6 * -2 + 4v * -2) + 9v -6 + 15v = (12 + -8v) + 9v Combine like terms: -8v + 9v = 1v -6 + 15v = 12 + 1v Solving -6 + 15v = 12 + 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. -6 + 15v + -1v = 12 + 1v + -1v Combine like terms: 15v + -1v = 14v -6 + 14v = 12 + 1v + -1v Combine like terms: 1v + -1v = 0 -6 + 14v = 12 + 0 -6 + 14v = 12 Add '6' to each side of the equation. -6 + 6 + 14v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 14v = 12 + 6 14v = 12 + 6 Combine like terms: 12 + 6 = 18 14v = 18 Divide each side by '14'. v = 1.285714286 Simplifying v = 1.285714286
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