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Simplifying 2(v + 6) + -4v = 24 Reorder the terms: 2(6 + v) + -4v = 24 (6 * 2 + v * 2) + -4v = 24 (12 + 2v) + -4v = 24 Combine like terms: 2v + -4v = -2v 12 + -2v = 24 Solving 12 + -2v = 24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2v = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 24 + -12 -2v = 24 + -12 Combine like terms: 24 + -12 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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