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Simplifying -1(-2v + -6) = -3 + -5(v + 8) Reorder the terms: -1(-6 + -2v) = -3 + -5(v + 8) (-6 * -1 + -2v * -1) = -3 + -5(v + 8) (6 + 2v) = -3 + -5(v + 8) Reorder the terms: 6 + 2v = -3 + -5(8 + v) 6 + 2v = -3 + (8 * -5 + v * -5) 6 + 2v = -3 + (-40 + -5v) Combine like terms: -3 + -40 = -43 6 + 2v = -43 + -5v Solving 6 + 2v = -43 + -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. 6 + 2v + 5v = -43 + -5v + 5v Combine like terms: 2v + 5v = 7v 6 + 7v = -43 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 7v = -43 + 0 6 + 7v = -43 Add '-6' to each side of the equation. 6 + -6 + 7v = -43 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = -43 + -6 7v = -43 + -6 Combine like terms: -43 + -6 = -49 7v = -49 Divide each side by '7'. v = -7 Simplifying v = -7
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