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Simplifying 9(v + -2) = v + 40 Reorder the terms: 9(-2 + v) = v + 40 (-2 * 9 + v * 9) = v + 40 (-18 + 9v) = v + 40 Reorder the terms: -18 + 9v = 40 + v Solving -18 + 9v = 40 + v 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. -18 + 9v + -1v = 40 + v + -1v Combine like terms: 9v + -1v = 8v -18 + 8v = 40 + v + -1v Combine like terms: v + -1v = 0 -18 + 8v = 40 + 0 -18 + 8v = 40 Add '18' to each side of the equation. -18 + 18 + 8v = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 8v = 40 + 18 8v = 40 + 18 Combine like terms: 40 + 18 = 58 8v = 58 Divide each side by '8'. v = 7.25 Simplifying v = 7.25
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