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Simplifying -9(v + 1) = 9v + -45 Reorder the terms: -9(1 + v) = 9v + -45 (1 * -9 + v * -9) = 9v + -45 (-9 + -9v) = 9v + -45 Reorder the terms: -9 + -9v = -45 + 9v Solving -9 + -9v = -45 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -9 + -9v + -9v = -45 + 9v + -9v Combine like terms: -9v + -9v = -18v -9 + -18v = -45 + 9v + -9v Combine like terms: 9v + -9v = 0 -9 + -18v = -45 + 0 -9 + -18v = -45 Add '9' to each side of the equation. -9 + 9 + -18v = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -18v = -45 + 9 -18v = -45 + 9 Combine like terms: -45 + 9 = -36 -18v = -36 Divide each side by '-18'. v = 2 Simplifying v = 2
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