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Simplifying -1(-6v + -8) + 7v = -34 + -8v Reorder the terms: -1(-8 + -6v) + 7v = -34 + -8v (-8 * -1 + -6v * -1) + 7v = -34 + -8v (8 + 6v) + 7v = -34 + -8v Combine like terms: 6v + 7v = 13v 8 + 13v = -34 + -8v Solving 8 + 13v = -34 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 8 + 13v + 8v = -34 + -8v + 8v Combine like terms: 13v + 8v = 21v 8 + 21v = -34 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + 21v = -34 + 0 8 + 21v = -34 Add '-8' to each side of the equation. 8 + -8 + 21v = -34 + -8 Combine like terms: 8 + -8 = 0 0 + 21v = -34 + -8 21v = -34 + -8 Combine like terms: -34 + -8 = -42 21v = -42 Divide each side by '21'. v = -2 Simplifying v = -2
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