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Simplifying 9(v + -9) = -4v + -16 Reorder the terms: 9(-9 + v) = -4v + -16 (-9 * 9 + v * 9) = -4v + -16 (-81 + 9v) = -4v + -16 Reorder the terms: -81 + 9v = -16 + -4v Solving -81 + 9v = -16 + -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. -81 + 9v + 4v = -16 + -4v + 4v Combine like terms: 9v + 4v = 13v -81 + 13v = -16 + -4v + 4v Combine like terms: -4v + 4v = 0 -81 + 13v = -16 + 0 -81 + 13v = -16 Add '81' to each side of the equation. -81 + 81 + 13v = -16 + 81 Combine like terms: -81 + 81 = 0 0 + 13v = -16 + 81 13v = -16 + 81 Combine like terms: -16 + 81 = 65 13v = 65 Divide each side by '13'. v = 5 Simplifying v = 5
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