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Simplifying -5(v + 1) = -4(2v + -1) + 9v Reorder the terms: -5(1 + v) = -4(2v + -1) + 9v (1 * -5 + v * -5) = -4(2v + -1) + 9v (-5 + -5v) = -4(2v + -1) + 9v Reorder the terms: -5 + -5v = -4(-1 + 2v) + 9v -5 + -5v = (-1 * -4 + 2v * -4) + 9v -5 + -5v = (4 + -8v) + 9v Combine like terms: -8v + 9v = 1v -5 + -5v = 4 + 1v Solving -5 + -5v = 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. -5 + -5v + -1v = 4 + 1v + -1v Combine like terms: -5v + -1v = -6v -5 + -6v = 4 + 1v + -1v Combine like terms: 1v + -1v = 0 -5 + -6v = 4 + 0 -5 + -6v = 4 Add '5' to each side of the equation. -5 + 5 + -6v = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -6v = 4 + 5 -6v = 4 + 5 Combine like terms: 4 + 5 = 9 -6v = 9 Divide each side by '-6'. v = -1.5 Simplifying v = -1.5
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