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Simplifying -6 + 4(2 + -7v) = -1(v + -8) + -4v -6 + (2 * 4 + -7v * 4) = -1(v + -8) + -4v -6 + (8 + -28v) = -1(v + -8) + -4v Combine like terms: -6 + 8 = 2 2 + -28v = -1(v + -8) + -4v Reorder the terms: 2 + -28v = -1(-8 + v) + -4v 2 + -28v = (-8 * -1 + v * -1) + -4v 2 + -28v = (8 + -1v) + -4v Combine like terms: -1v + -4v = -5v 2 + -28v = 8 + -5v Solving 2 + -28v = 8 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 2 + -28v + 5v = 8 + -5v + 5v Combine like terms: -28v + 5v = -23v 2 + -23v = 8 + -5v + 5v Combine like terms: -5v + 5v = 0 2 + -23v = 8 + 0 2 + -23v = 8 Add '-2' to each side of the equation. 2 + -2 + -23v = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -23v = 8 + -2 -23v = 8 + -2 Combine like terms: 8 + -2 = 6 -23v = 6 Divide each side by '-23'. v = -0.2608695652 Simplifying v = -0.2608695652
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