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Simplifying 6v + 10 = 4(v + 5) Reorder the terms: 10 + 6v = 4(v + 5) Reorder the terms: 10 + 6v = 4(5 + v) 10 + 6v = (5 * 4 + v * 4) 10 + 6v = (20 + 4v) Solving 10 + 6v = 20 + 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. 10 + 6v + -4v = 20 + 4v + -4v Combine like terms: 6v + -4v = 2v 10 + 2v = 20 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + 2v = 20 + 0 10 + 2v = 20 Add '-10' to each side of the equation. 10 + -10 + 2v = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = 20 + -10 2v = 20 + -10 Combine like terms: 20 + -10 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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