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Simplifying 2v + -3v(1 + 5) + -4 = 12 Combine like terms: 1 + 5 = 6 2v + -3v(6) + -4 = 12 Reorder the terms for easier multiplication: 2v + -3 * 6v + -4 = 12 Multiply -3 * 6 2v + -18v + -4 = 12 Reorder the terms: -4 + 2v + -18v = 12 Combine like terms: 2v + -18v = -16v -4 + -16v = 12 Solving -4 + -16v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -16v = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -16v = 12 + 4 -16v = 12 + 4 Combine like terms: 12 + 4 = 16 -16v = 16 Divide each side by '-16'. v = -1 Simplifying v = -1
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