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Simplifying 7v + 14 = -4(v + 2) Reorder the terms: 14 + 7v = -4(v + 2) Reorder the terms: 14 + 7v = -4(2 + v) 14 + 7v = (2 * -4 + v * -4) 14 + 7v = (-8 + -4v) Solving 14 + 7v = -8 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 14 + 7v + 4v = -8 + -4v + 4v Combine like terms: 7v + 4v = 11v 14 + 11v = -8 + -4v + 4v Combine like terms: -4v + 4v = 0 14 + 11v = -8 + 0 14 + 11v = -8 Add '-14' to each side of the equation. 14 + -14 + 11v = -8 + -14 Combine like terms: 14 + -14 = 0 0 + 11v = -8 + -14 11v = -8 + -14 Combine like terms: -8 + -14 = -22 11v = -22 Divide each side by '11'. v = -2 Simplifying v = -2
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