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Simplifying 6(v + 3) = -2(2v + -7) + 2v Reorder the terms: 6(3 + v) = -2(2v + -7) + 2v (3 * 6 + v * 6) = -2(2v + -7) + 2v (18 + 6v) = -2(2v + -7) + 2v Reorder the terms: 18 + 6v = -2(-7 + 2v) + 2v 18 + 6v = (-7 * -2 + 2v * -2) + 2v 18 + 6v = (14 + -4v) + 2v Combine like terms: -4v + 2v = -2v 18 + 6v = 14 + -2v Solving 18 + 6v = 14 + -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. 18 + 6v + 2v = 14 + -2v + 2v Combine like terms: 6v + 2v = 8v 18 + 8v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 18 + 8v = 14 + 0 18 + 8v = 14 Add '-18' to each side of the equation. 18 + -18 + 8v = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 8v = 14 + -18 8v = 14 + -18 Combine like terms: 14 + -18 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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