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Simplifying 3v + 34 = 8(v + -2) Reorder the terms: 34 + 3v = 8(v + -2) Reorder the terms: 34 + 3v = 8(-2 + v) 34 + 3v = (-2 * 8 + v * 8) 34 + 3v = (-16 + 8v) Solving 34 + 3v = -16 + 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 + 3v + -8v = -16 + 8v + -8v Combine like terms: 3v + -8v = -5v 34 + -5v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 34 + -5v = -16 + 0 34 + -5v = -16 Add '-34' to each side of the equation. 34 + -34 + -5v = -16 + -34 Combine like terms: 34 + -34 = 0 0 + -5v = -16 + -34 -5v = -16 + -34 Combine like terms: -16 + -34 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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