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Simplifying 30 = 4(v + 7) + -6v Reorder the terms: 30 = 4(7 + v) + -6v 30 = (7 * 4 + v * 4) + -6v 30 = (28 + 4v) + -6v Combine like terms: 4v + -6v = -2v 30 = 28 + -2v Solving 30 = 28 + -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. 30 + 2v = 28 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + 2v = 28 + 0 30 + 2v = 28 Add '-30' to each side of the equation. 30 + -30 + 2v = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 2v = 28 + -30 2v = 28 + -30 Combine like terms: 28 + -30 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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