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Simplifying 2(v + 4) = -7v + -19 Reorder the terms: 2(4 + v) = -7v + -19 (4 * 2 + v * 2) = -7v + -19 (8 + 2v) = -7v + -19 Reorder the terms: 8 + 2v = -19 + -7v Solving 8 + 2v = -19 + -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. 8 + 2v + 7v = -19 + -7v + 7v Combine like terms: 2v + 7v = 9v 8 + 9v = -19 + -7v + 7v Combine like terms: -7v + 7v = 0 8 + 9v = -19 + 0 8 + 9v = -19 Add '-8' to each side of the equation. 8 + -8 + 9v = -19 + -8 Combine like terms: 8 + -8 = 0 0 + 9v = -19 + -8 9v = -19 + -8 Combine like terms: -19 + -8 = -27 9v = -27 Divide each side by '9'. v = -3 Simplifying v = -3
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