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Simplifying 7 + 2(4v + -1) = -2(6v + -1) + 8v Reorder the terms: 7 + 2(-1 + 4v) = -2(6v + -1) + 8v 7 + (-1 * 2 + 4v * 2) = -2(6v + -1) + 8v 7 + (-2 + 8v) = -2(6v + -1) + 8v Combine like terms: 7 + -2 = 5 5 + 8v = -2(6v + -1) + 8v Reorder the terms: 5 + 8v = -2(-1 + 6v) + 8v 5 + 8v = (-1 * -2 + 6v * -2) + 8v 5 + 8v = (2 + -12v) + 8v Combine like terms: -12v + 8v = -4v 5 + 8v = 2 + -4v Solving 5 + 8v = 2 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 5 + 8v + 4v = 2 + -4v + 4v Combine like terms: 8v + 4v = 12v 5 + 12v = 2 + -4v + 4v Combine like terms: -4v + 4v = 0 5 + 12v = 2 + 0 5 + 12v = 2 Add '-5' to each side of the equation. 5 + -5 + 12v = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 12v = 2 + -5 12v = 2 + -5 Combine like terms: 2 + -5 = -3 12v = -3 Divide each side by '12'. v = -0.25 Simplifying v = -0.25
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