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Simplifying 9v + -41 = -8(v + 3) Reorder the terms: -41 + 9v = -8(v + 3) Reorder the terms: -41 + 9v = -8(3 + v) -41 + 9v = (3 * -8 + v * -8) -41 + 9v = (-24 + -8v) Solving -41 + 9v = -24 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -41 + 9v + 8v = -24 + -8v + 8v Combine like terms: 9v + 8v = 17v -41 + 17v = -24 + -8v + 8v Combine like terms: -8v + 8v = 0 -41 + 17v = -24 + 0 -41 + 17v = -24 Add '41' to each side of the equation. -41 + 41 + 17v = -24 + 41 Combine like terms: -41 + 41 = 0 0 + 17v = -24 + 41 17v = -24 + 41 Combine like terms: -24 + 41 = 17 17v = 17 Divide each side by '17'. v = 1 Simplifying v = 1
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