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Simplifying 6(v + 7) = 4v + 28 Reorder the terms: 6(7 + v) = 4v + 28 (7 * 6 + v * 6) = 4v + 28 (42 + 6v) = 4v + 28 Reorder the terms: 42 + 6v = 28 + 4v Solving 42 + 6v = 28 + 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. 42 + 6v + -4v = 28 + 4v + -4v Combine like terms: 6v + -4v = 2v 42 + 2v = 28 + 4v + -4v Combine like terms: 4v + -4v = 0 42 + 2v = 28 + 0 42 + 2v = 28 Add '-42' to each side of the equation. 42 + -42 + 2v = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 2v = 28 + -42 2v = 28 + -42 Combine like terms: 28 + -42 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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