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Simplifying [6v + -15] = [4v + 7] Reorder the terms: [-15 + 6v] = [4v + 7] Remove brackets around [-15 + 6v] -15 + 6v = [4v + 7] Reorder the terms: -15 + 6v = [7 + 4v] Remove brackets around [7 + 4v] -15 + 6v = 7 + 4v Solving -15 + 6v = 7 + 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. -15 + 6v + -4v = 7 + 4v + -4v Combine like terms: 6v + -4v = 2v -15 + 2v = 7 + 4v + -4v Combine like terms: 4v + -4v = 0 -15 + 2v = 7 + 0 -15 + 2v = 7 Add '15' to each side of the equation. -15 + 15 + 2v = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2v = 7 + 15 2v = 7 + 15 Combine like terms: 7 + 15 = 22 2v = 22 Divide each side by '2'. v = 11 Simplifying v = 11
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