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Simplifying 3(4v + 3) + v = 48 Reorder the terms: 3(3 + 4v) + v = 48 (3 * 3 + 4v * 3) + v = 48 (9 + 12v) + v = 48 Combine like terms: 12v + v = 13v 9 + 13v = 48 Solving 9 + 13v = 48 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13v = 48 + -9 Combine like terms: 9 + -9 = 0 0 + 13v = 48 + -9 13v = 48 + -9 Combine like terms: 48 + -9 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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