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Simplifying 2v + 6 = -4(1v + 3) Reorder the terms: 6 + 2v = -4(1v + 3) Reorder the terms: 6 + 2v = -4(3 + 1v) 6 + 2v = (3 * -4 + 1v * -4) 6 + 2v = (-12 + -4v) Solving 6 + 2v = -12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 6 + 2v + 4v = -12 + -4v + 4v Combine like terms: 2v + 4v = 6v 6 + 6v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 6 + 6v = -12 + 0 6 + 6v = -12 Add '-6' to each side of the equation. 6 + -6 + 6v = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6v = -12 + -6 6v = -12 + -6 Combine like terms: -12 + -6 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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