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Simplifying 2v + 3 + -1(4v + -9) = 4 Reorder the terms: 2v + 3 + -1(-9 + 4v) = 4 2v + 3 + (-9 * -1 + 4v * -1) = 4 2v + 3 + (9 + -4v) = 4 Reorder the terms: 3 + 9 + 2v + -4v = 4 Combine like terms: 3 + 9 = 12 12 + 2v + -4v = 4 Combine like terms: 2v + -4v = -2v 12 + -2v = 4 Solving 12 + -2v = 4 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 = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 4 + -12 -2v = 4 + -12 Combine like terms: 4 + -12 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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