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Simplifying 9v + 45 = -9(v + 7) Reorder the terms: 45 + 9v = -9(v + 7) Reorder the terms: 45 + 9v = -9(7 + v) 45 + 9v = (7 * -9 + v * -9) 45 + 9v = (-63 + -9v) Solving 45 + 9v = -63 + -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. 45 + 9v + 9v = -63 + -9v + 9v Combine like terms: 9v + 9v = 18v 45 + 18v = -63 + -9v + 9v Combine like terms: -9v + 9v = 0 45 + 18v = -63 + 0 45 + 18v = -63 Add '-45' to each side of the equation. 45 + -45 + 18v = -63 + -45 Combine like terms: 45 + -45 = 0 0 + 18v = -63 + -45 18v = -63 + -45 Combine like terms: -63 + -45 = -108 18v = -108 Divide each side by '18'. v = -6 Simplifying v = -6
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