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Simplifying 2(v + -1) + 5(2v + 8) = 2 Reorder the terms: 2(-1 + v) + 5(2v + 8) = 2 (-1 * 2 + v * 2) + 5(2v + 8) = 2 (-2 + 2v) + 5(2v + 8) = 2 Reorder the terms: -2 + 2v + 5(8 + 2v) = 2 -2 + 2v + (8 * 5 + 2v * 5) = 2 -2 + 2v + (40 + 10v) = 2 Reorder the terms: -2 + 40 + 2v + 10v = 2 Combine like terms: -2 + 40 = 38 38 + 2v + 10v = 2 Combine like terms: 2v + 10v = 12v 38 + 12v = 2 Solving 38 + 12v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 12v = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 12v = 2 + -38 12v = 2 + -38 Combine like terms: 2 + -38 = -36 12v = -36 Divide each side by '12'. v = -3 Simplifying v = -3
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