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Simplifying 8v + 38 = -9(v + 9) Reorder the terms: 38 + 8v = -9(v + 9) Reorder the terms: 38 + 8v = -9(9 + v) 38 + 8v = (9 * -9 + v * -9) 38 + 8v = (-81 + -9v) Solving 38 + 8v = -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. 38 + 8v + 9v = -81 + -9v + 9v Combine like terms: 8v + 9v = 17v 38 + 17v = -81 + -9v + 9v Combine like terms: -9v + 9v = 0 38 + 17v = -81 + 0 38 + 17v = -81 Add '-38' to each side of the equation. 38 + -38 + 17v = -81 + -38 Combine like terms: 38 + -38 = 0 0 + 17v = -81 + -38 17v = -81 + -38 Combine like terms: -81 + -38 = -119 17v = -119 Divide each side by '17'. v = -7 Simplifying v = -7
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