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Simplifying 4v + -2(v + 9) + 10 = -14 Reorder the terms: 4v + -2(9 + v) + 10 = -14 4v + (9 * -2 + v * -2) + 10 = -14 4v + (-18 + -2v) + 10 = -14 Reorder the terms: -18 + 10 + 4v + -2v = -14 Combine like terms: -18 + 10 = -8 -8 + 4v + -2v = -14 Combine like terms: 4v + -2v = 2v -8 + 2v = -14 Solving -8 + 2v = -14 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2v = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = -14 + 8 2v = -14 + 8 Combine like terms: -14 + 8 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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