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Simplifying 8 + -4v = -1(v + -6) + -5(v + 1) Reorder the terms: 8 + -4v = -1(-6 + v) + -5(v + 1) 8 + -4v = (-6 * -1 + v * -1) + -5(v + 1) 8 + -4v = (6 + -1v) + -5(v + 1) Reorder the terms: 8 + -4v = 6 + -1v + -5(1 + v) 8 + -4v = 6 + -1v + (1 * -5 + v * -5) 8 + -4v = 6 + -1v + (-5 + -5v) Reorder the terms: 8 + -4v = 6 + -5 + -1v + -5v Combine like terms: 6 + -5 = 1 8 + -4v = 1 + -1v + -5v Combine like terms: -1v + -5v = -6v 8 + -4v = 1 + -6v Solving 8 + -4v = 1 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 8 + -4v + 6v = 1 + -6v + 6v Combine like terms: -4v + 6v = 2v 8 + 2v = 1 + -6v + 6v Combine like terms: -6v + 6v = 0 8 + 2v = 1 + 0 8 + 2v = 1 Add '-8' to each side of the equation. 8 + -8 + 2v = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 2v = 1 + -8 2v = 1 + -8 Combine like terms: 1 + -8 = -7 2v = -7 Divide each side by '2'. v = -3.5 Simplifying v = -3.5
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