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Simplifying 7v + -41 = -9(v + 1) Reorder the terms: -41 + 7v = -9(v + 1) Reorder the terms: -41 + 7v = -9(1 + v) -41 + 7v = (1 * -9 + v * -9) -41 + 7v = (-9 + -9v) Solving -41 + 7v = -9 + -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. -41 + 7v + 9v = -9 + -9v + 9v Combine like terms: 7v + 9v = 16v -41 + 16v = -9 + -9v + 9v Combine like terms: -9v + 9v = 0 -41 + 16v = -9 + 0 -41 + 16v = -9 Add '41' to each side of the equation. -41 + 41 + 16v = -9 + 41 Combine like terms: -41 + 41 = 0 0 + 16v = -9 + 41 16v = -9 + 41 Combine like terms: -9 + 41 = 32 16v = 32 Divide each side by '16'. v = 2 Simplifying v = 2
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