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Simplifying -2(v + -4) = -9v + -41 Reorder the terms: -2(-4 + v) = -9v + -41 (-4 * -2 + v * -2) = -9v + -41 (8 + -2v) = -9v + -41 Reorder the terms: 8 + -2v = -41 + -9v Solving 8 + -2v = -41 + -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. 8 + -2v + 9v = -41 + -9v + 9v Combine like terms: -2v + 9v = 7v 8 + 7v = -41 + -9v + 9v Combine like terms: -9v + 9v = 0 8 + 7v = -41 + 0 8 + 7v = -41 Add '-8' to each side of the equation. 8 + -8 + 7v = -41 + -8 Combine like terms: 8 + -8 = 0 0 + 7v = -41 + -8 7v = -41 + -8 Combine like terms: -41 + -8 = -49 7v = -49 Divide each side by '7'. v = -7 Simplifying v = -7
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