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