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Simplifying -8(v + -1) + -4v = 34 + v Reorder the terms: -8(-1 + v) + -4v = 34 + v (-1 * -8 + v * -8) + -4v = 34 + v (8 + -8v) + -4v = 34 + v Combine like terms: -8v + -4v = -12v 8 + -12v = 34 + v Solving 8 + -12v = 34 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 8 + -12v + -1v = 34 + v + -1v Combine like terms: -12v + -1v = -13v 8 + -13v = 34 + v + -1v Combine like terms: v + -1v = 0 8 + -13v = 34 + 0 8 + -13v = 34 Add '-8' to each side of the equation. 8 + -8 + -13v = 34 + -8 Combine like terms: 8 + -8 = 0 0 + -13v = 34 + -8 -13v = 34 + -8 Combine like terms: 34 + -8 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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