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Simplifying 8 + -1(4v + 6) = 4v + -2 Reorder the terms: 8 + -1(6 + 4v) = 4v + -2 8 + (6 * -1 + 4v * -1) = 4v + -2 8 + (-6 + -4v) = 4v + -2 Combine like terms: 8 + -6 = 2 2 + -4v = 4v + -2 Reorder the terms: 2 + -4v = -2 + 4v Solving 2 + -4v = -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. 2 + -4v + -4v = -2 + 4v + -4v Combine like terms: -4v + -4v = -8v 2 + -8v = -2 + 4v + -4v Combine like terms: 4v + -4v = 0 2 + -8v = -2 + 0 2 + -8v = -2 Add '-2' to each side of the equation. 2 + -2 + -8v = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -8v = -2 + -2 -8v = -2 + -2 Combine like terms: -2 + -2 = -4 -8v = -4 Divide each side by '-8'. v = 0.5 Simplifying v = 0.5
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