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Simplifying 34 + 8v = 8 + 5(v + 1) Reorder the terms: 34 + 8v = 8 + 5(1 + v) 34 + 8v = 8 + (1 * 5 + v * 5) 34 + 8v = 8 + (5 + 5v) Combine like terms: 8 + 5 = 13 34 + 8v = 13 + 5v Solving 34 + 8v = 13 + 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. 34 + 8v + -5v = 13 + 5v + -5v Combine like terms: 8v + -5v = 3v 34 + 3v = 13 + 5v + -5v Combine like terms: 5v + -5v = 0 34 + 3v = 13 + 0 34 + 3v = 13 Add '-34' to each side of the equation. 34 + -34 + 3v = 13 + -34 Combine like terms: 34 + -34 = 0 0 + 3v = 13 + -34 3v = 13 + -34 Combine like terms: 13 + -34 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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