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Simplifying 8(v + 4) + 6 = 2v + -5 Reorder the terms: 8(4 + v) + 6 = 2v + -5 (4 * 8 + v * 8) + 6 = 2v + -5 (32 + 8v) + 6 = 2v + -5 Reorder the terms: 32 + 6 + 8v = 2v + -5 Combine like terms: 32 + 6 = 38 38 + 8v = 2v + -5 Reorder the terms: 38 + 8v = -5 + 2v Solving 38 + 8v = -5 + 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 + 8v + -2v = -5 + 2v + -2v Combine like terms: 8v + -2v = 6v 38 + 6v = -5 + 2v + -2v Combine like terms: 2v + -2v = 0 38 + 6v = -5 + 0 38 + 6v = -5 Add '-38' to each side of the equation. 38 + -38 + 6v = -5 + -38 Combine like terms: 38 + -38 = 0 0 + 6v = -5 + -38 6v = -5 + -38 Combine like terms: -5 + -38 = -43 6v = -43 Divide each side by '6'. v = -7.166666667 Simplifying v = -7.166666667
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