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Simplifying 28 = -4v + 6(v + 7) Reorder the terms: 28 = -4v + 6(7 + v) 28 = -4v + (7 * 6 + v * 6) 28 = -4v + (42 + 6v) Reorder the terms: 28 = 42 + -4v + 6v Combine like terms: -4v + 6v = 2v 28 = 42 + 2v Solving 28 = 42 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 28 + -2v = 42 + 2v + -2v Combine like terms: 2v + -2v = 0 28 + -2v = 42 + 0 28 + -2v = 42 Add '-28' to each side of the equation. 28 + -28 + -2v = 42 + -28 Combine like terms: 28 + -28 = 0 0 + -2v = 42 + -28 -2v = 42 + -28 Combine like terms: 42 + -28 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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