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Simplifying 3(5v + 1) + -3v = 5v + 24 Reorder the terms: 3(1 + 5v) + -3v = 5v + 24 (1 * 3 + 5v * 3) + -3v = 5v + 24 (3 + 15v) + -3v = 5v + 24 Combine like terms: 15v + -3v = 12v 3 + 12v = 5v + 24 Reorder the terms: 3 + 12v = 24 + 5v Solving 3 + 12v = 24 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 3 + 12v + -5v = 24 + 5v + -5v Combine like terms: 12v + -5v = 7v 3 + 7v = 24 + 5v + -5v Combine like terms: 5v + -5v = 0 3 + 7v = 24 + 0 3 + 7v = 24 Add '-3' to each side of the equation. 3 + -3 + 7v = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7v = 24 + -3 7v = 24 + -3 Combine like terms: 24 + -3 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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