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Simplifying 2(v + 7) = -3(4v + -2) + 4v Reorder the terms: 2(7 + v) = -3(4v + -2) + 4v (7 * 2 + v * 2) = -3(4v + -2) + 4v (14 + 2v) = -3(4v + -2) + 4v Reorder the terms: 14 + 2v = -3(-2 + 4v) + 4v 14 + 2v = (-2 * -3 + 4v * -3) + 4v 14 + 2v = (6 + -12v) + 4v Combine like terms: -12v + 4v = -8v 14 + 2v = 6 + -8v Solving 14 + 2v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 14 + 2v + 8v = 6 + -8v + 8v Combine like terms: 2v + 8v = 10v 14 + 10v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 14 + 10v = 6 + 0 14 + 10v = 6 Add '-14' to each side of the equation. 14 + -14 + 10v = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 10v = 6 + -14 10v = 6 + -14 Combine like terms: 6 + -14 = -8 10v = -8 Divide each side by '10'. v = -0.8 Simplifying v = -0.8
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