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Simplifying -4(2v + -1) + 9v = 1 + 3(5v + -5) Reorder the terms: -4(-1 + 2v) + 9v = 1 + 3(5v + -5) (-1 * -4 + 2v * -4) + 9v = 1 + 3(5v + -5) (4 + -8v) + 9v = 1 + 3(5v + -5) Combine like terms: -8v + 9v = 1v 4 + 1v = 1 + 3(5v + -5) Reorder the terms: 4 + 1v = 1 + 3(-5 + 5v) 4 + 1v = 1 + (-5 * 3 + 5v * 3) 4 + 1v = 1 + (-15 + 15v) Combine like terms: 1 + -15 = -14 4 + 1v = -14 + 15v Solving 4 + 1v = -14 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 4 + 1v + -15v = -14 + 15v + -15v Combine like terms: 1v + -15v = -14v 4 + -14v = -14 + 15v + -15v Combine like terms: 15v + -15v = 0 4 + -14v = -14 + 0 4 + -14v = -14 Add '-4' to each side of the equation. 4 + -4 + -14v = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -14v = -14 + -4 -14v = -14 + -4 Combine like terms: -14 + -4 = -18 -14v = -18 Divide each side by '-14'. v = 1.285714286 Simplifying v = 1.285714286
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