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Simplifying 9(v + 7) = -5v + 35 Reorder the terms: 9(7 + v) = -5v + 35 (7 * 9 + v * 9) = -5v + 35 (63 + 9v) = -5v + 35 Reorder the terms: 63 + 9v = 35 + -5v Solving 63 + 9v = 35 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 63 + 9v + 5v = 35 + -5v + 5v Combine like terms: 9v + 5v = 14v 63 + 14v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 63 + 14v = 35 + 0 63 + 14v = 35 Add '-63' to each side of the equation. 63 + -63 + 14v = 35 + -63 Combine like terms: 63 + -63 = 0 0 + 14v = 35 + -63 14v = 35 + -63 Combine like terms: 35 + -63 = -28 14v = -28 Divide each side by '14'. v = -2 Simplifying v = -2
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