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Simplifying 3(7 + -3v) = -4v + 41 (7 * 3 + -3v * 3) = -4v + 41 (21 + -9v) = -4v + 41 Reorder the terms: 21 + -9v = 41 + -4v Solving 21 + -9v = 41 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 21 + -9v + 4v = 41 + -4v + 4v Combine like terms: -9v + 4v = -5v 21 + -5v = 41 + -4v + 4v Combine like terms: -4v + 4v = 0 21 + -5v = 41 + 0 21 + -5v = 41 Add '-21' to each side of the equation. 21 + -21 + -5v = 41 + -21 Combine like terms: 21 + -21 = 0 0 + -5v = 41 + -21 -5v = 41 + -21 Combine like terms: 41 + -21 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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