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Simplifying 2(v + 7) = -6v + 30 Reorder the terms: 2(7 + v) = -6v + 30 (7 * 2 + v * 2) = -6v + 30 (14 + 2v) = -6v + 30 Reorder the terms: 14 + 2v = 30 + -6v Solving 14 + 2v = 30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 14 + 2v + 6v = 30 + -6v + 6v Combine like terms: 2v + 6v = 8v 14 + 8v = 30 + -6v + 6v Combine like terms: -6v + 6v = 0 14 + 8v = 30 + 0 14 + 8v = 30 Add '-14' to each side of the equation. 14 + -14 + 8v = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8v = 30 + -14 8v = 30 + -14 Combine like terms: 30 + -14 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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