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Simplifying -9(v + -7) = 9v + 9 Reorder the terms: -9(-7 + v) = 9v + 9 (-7 * -9 + v * -9) = 9v + 9 (63 + -9v) = 9v + 9 Reorder the terms: 63 + -9v = 9 + 9v Solving 63 + -9v = 9 + 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. 63 + -9v + -9v = 9 + 9v + -9v Combine like terms: -9v + -9v = -18v 63 + -18v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 63 + -18v = 9 + 0 63 + -18v = 9 Add '-63' to each side of the equation. 63 + -63 + -18v = 9 + -63 Combine like terms: 63 + -63 = 0 0 + -18v = 9 + -63 -18v = 9 + -63 Combine like terms: 9 + -63 = -54 -18v = -54 Divide each side by '-18'. v = 3 Simplifying v = 3
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