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Simplifying 34 = 5 + 8(v + 6) Reorder the terms: 34 = 5 + 8(6 + v) 34 = 5 + (6 * 8 + v * 8) 34 = 5 + (48 + 8v) Combine like terms: 5 + 48 = 53 34 = 53 + 8v Solving 34 = 53 + 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. 34 + -8v = 53 + 8v + -8v Combine like terms: 8v + -8v = 0 34 + -8v = 53 + 0 34 + -8v = 53 Add '-34' to each side of the equation. 34 + -34 + -8v = 53 + -34 Combine like terms: 34 + -34 = 0 0 + -8v = 53 + -34 -8v = 53 + -34 Combine like terms: 53 + -34 = 19 -8v = 19 Divide each side by '-8'. v = -2.375 Simplifying v = -2.375
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