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Simplifying 2(v + 3) = -6v + 14 Reorder the terms: 2(3 + v) = -6v + 14 (3 * 2 + v * 2) = -6v + 14 (6 + 2v) = -6v + 14 Reorder the terms: 6 + 2v = 14 + -6v Solving 6 + 2v = 14 + -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. 6 + 2v + 6v = 14 + -6v + 6v Combine like terms: 2v + 6v = 8v 6 + 8v = 14 + -6v + 6v Combine like terms: -6v + 6v = 0 6 + 8v = 14 + 0 6 + 8v = 14 Add '-6' to each side of the equation. 6 + -6 + 8v = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 8v = 14 + -6 8v = 14 + -6 Combine like terms: 14 + -6 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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