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Simplifying 38 = -8v + 6(v + 6) Reorder the terms: 38 = -8v + 6(6 + v) 38 = -8v + (6 * 6 + v * 6) 38 = -8v + (36 + 6v) Reorder the terms: 38 = 36 + -8v + 6v Combine like terms: -8v + 6v = -2v 38 = 36 + -2v Solving 38 = 36 + -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. 38 + 2v = 36 + -2v + 2v Combine like terms: -2v + 2v = 0 38 + 2v = 36 + 0 38 + 2v = 36 Add '-38' to each side of the equation. 38 + -38 + 2v = 36 + -38 Combine like terms: 38 + -38 = 0 0 + 2v = 36 + -38 2v = 36 + -38 Combine like terms: 36 + -38 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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