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Simplifying -8v + 28 = -2(v + 7) Reorder the terms: 28 + -8v = -2(v + 7) Reorder the terms: 28 + -8v = -2(7 + v) 28 + -8v = (7 * -2 + v * -2) 28 + -8v = (-14 + -2v) Solving 28 + -8v = -14 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 28 + -8v + 2v = -14 + -2v + 2v Combine like terms: -8v + 2v = -6v 28 + -6v = -14 + -2v + 2v Combine like terms: -2v + 2v = 0 28 + -6v = -14 + 0 28 + -6v = -14 Add '-28' to each side of the equation. 28 + -28 + -6v = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -6v = -14 + -28 -6v = -14 + -28 Combine like terms: -14 + -28 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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