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Simplifying 4v + 24 = 6(v + 3) Reorder the terms: 24 + 4v = 6(v + 3) Reorder the terms: 24 + 4v = 6(3 + v) 24 + 4v = (3 * 6 + v * 6) 24 + 4v = (18 + 6v) Solving 24 + 4v = 18 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 24 + 4v + -6v = 18 + 6v + -6v Combine like terms: 4v + -6v = -2v 24 + -2v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + -2v = 18 + 0 24 + -2v = 18 Add '-24' to each side of the equation. 24 + -24 + -2v = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 18 + -24 -2v = 18 + -24 Combine like terms: 18 + -24 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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