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Simplifying 2(v + 7) = -7v + -4 Reorder the terms: 2(7 + v) = -7v + -4 (7 * 2 + v * 2) = -7v + -4 (14 + 2v) = -7v + -4 Reorder the terms: 14 + 2v = -4 + -7v Solving 14 + 2v = -4 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 14 + 2v + 7v = -4 + -7v + 7v Combine like terms: 2v + 7v = 9v 14 + 9v = -4 + -7v + 7v Combine like terms: -7v + 7v = 0 14 + 9v = -4 + 0 14 + 9v = -4 Add '-14' to each side of the equation. 14 + -14 + 9v = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 9v = -4 + -14 9v = -4 + -14 Combine like terms: -4 + -14 = -18 9v = -18 Divide each side by '9'. v = -2 Simplifying v = -2
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