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Simplifying 3v + 46 = 5(v + 6) Reorder the terms: 46 + 3v = 5(v + 6) Reorder the terms: 46 + 3v = 5(6 + v) 46 + 3v = (6 * 5 + v * 5) 46 + 3v = (30 + 5v) Solving 46 + 3v = 30 + 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. 46 + 3v + -5v = 30 + 5v + -5v Combine like terms: 3v + -5v = -2v 46 + -2v = 30 + 5v + -5v Combine like terms: 5v + -5v = 0 46 + -2v = 30 + 0 46 + -2v = 30 Add '-46' to each side of the equation. 46 + -46 + -2v = 30 + -46 Combine like terms: 46 + -46 = 0 0 + -2v = 30 + -46 -2v = 30 + -46 Combine like terms: 30 + -46 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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