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Simplifying 5(v + -9) = 6v Reorder the terms: 5(-9 + v) = 6v (-9 * 5 + v * 5) = 6v (-45 + 5v) = 6v Solving -45 + 5v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -45 + 5v + -6v = 6v + -6v Combine like terms: 5v + -6v = -1v -45 + -1v = 6v + -6v Combine like terms: 6v + -6v = 0 -45 + -1v = 0 Add '45' to each side of the equation. -45 + 45 + -1v = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1v = 0 + 45 -1v = 0 + 45 Combine like terms: 0 + 45 = 45 -1v = 45 Divide each side by '-1'. v = -45 Simplifying v = -45
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