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Simplifying 4v + -41 = 9(v + 1) Reorder the terms: -41 + 4v = 9(v + 1) Reorder the terms: -41 + 4v = 9(1 + v) -41 + 4v = (1 * 9 + v * 9) -41 + 4v = (9 + 9v) Solving -41 + 4v = 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 + 4v + -9v = 9 + 9v + -9v Combine like terms: 4v + -9v = -5v -41 + -5v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 -41 + -5v = 9 + 0 -41 + -5v = 9 Add '41' to each side of the equation. -41 + 41 + -5v = 9 + 41 Combine like terms: -41 + 41 = 0 0 + -5v = 9 + 41 -5v = 9 + 41 Combine like terms: 9 + 41 = 50 -5v = 50 Divide each side by '-5'. v = -10 Simplifying v = -10
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