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Simplifying 2v + 29 = -9(v + 9) Reorder the terms: 29 + 2v = -9(v + 9) Reorder the terms: 29 + 2v = -9(9 + v) 29 + 2v = (9 * -9 + v * -9) 29 + 2v = (-81 + -9v) Solving 29 + 2v = -81 + -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. 29 + 2v + 9v = -81 + -9v + 9v Combine like terms: 2v + 9v = 11v 29 + 11v = -81 + -9v + 9v Combine like terms: -9v + 9v = 0 29 + 11v = -81 + 0 29 + 11v = -81 Add '-29' to each side of the equation. 29 + -29 + 11v = -81 + -29 Combine like terms: 29 + -29 = 0 0 + 11v = -81 + -29 11v = -81 + -29 Combine like terms: -81 + -29 = -110 11v = -110 Divide each side by '11'. v = -10 Simplifying v = -10
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