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Simplifying 9(v + -5) = 4v + -5 Reorder the terms: 9(-5 + v) = 4v + -5 (-5 * 9 + v * 9) = 4v + -5 (-45 + 9v) = 4v + -5 Reorder the terms: -45 + 9v = -5 + 4v Solving -45 + 9v = -5 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -45 + 9v + -4v = -5 + 4v + -4v Combine like terms: 9v + -4v = 5v -45 + 5v = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 -45 + 5v = -5 + 0 -45 + 5v = -5 Add '45' to each side of the equation. -45 + 45 + 5v = -5 + 45 Combine like terms: -45 + 45 = 0 0 + 5v = -5 + 45 5v = -5 + 45 Combine like terms: -5 + 45 = 40 5v = 40 Divide each side by '5'. v = 8 Simplifying v = 8
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